index
int64 1
560
| question_number
stringclasses 99
values | question_type
stringclasses 4
values | question_text
stringlengths 0
813
⌀ | marks
int64 0
25
⌀ | related_topics
listlengths 0
8
⌀ | related_chapter
stringclasses 30
values | figure_paths
listlengths 0
3
⌀ | sub_parts
listlengths 0
5
⌀ | options
dict | or_question
dict | vi_candidate
bool 1
class | assertion
stringclasses 23
values | reason
stringclasses 23
values | case_study_text
stringclasses 9
values | sub_questions
listlengths 0
4
⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
301 |
(iv)
|
standard
|
The number of bright fringes formed due to interference on 1 m of screen placed at $\frac{4}{3}$ m away from the slits is :
| 1 |
[
"Wave Optics",
"Interference"
] |
Chapter–10
| null | null |
{
"A": "2",
"B": "3",
"C": "6",
"D": "10"
}
| null | false | null | null | null | null |
302 |
31.
|
standard
| null | 5 |
[
"Capacitance",
"Electric Potential",
"Gauss's Theorem",
"Electric Field"
] |
Chapter–2
| null |
[
{
"part": "(a) (i)",
"text": "Obtain the expression for the capacitance of a parallel plate capacitor with a dielectric medium between its plates."
},
{
"part": "(a) (ii)",
"text": "A charge of 6 $\\mu$C is given to a hollow metallic sphere of radius 0.2 m. Find the potential at (i) the surface and (ii) the centre of the sphere."
}
] | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": null,
"question_text": null,
"question_type": "standard",
"related_chapter": "Chapter–1",
"related_topics": [
"Gauss's Theorem",
"Electric Field",
"Electric Charge"
],
"sub_parts": [
{
"part": "(b) (i)",
"text": "A charge + Q is placed on a thin conducting spherical shell of radius R. Use Gauss's theorem to derive an expression for the electric field at a point lying (i) inside and (ii) outside the shell."
},
{
"part": "(b) (ii)",
"text": "Show that the electric field for same charge density ($\\sigma$) is twice in case of a conducting plate or surface than in a nonconducting sheet."
}
],
"text": null,
"vi_candidate": null
}
| false | null | null | null | null |
303 |
32.
|
standard
|
(a) (i) (1) What is meant by current sensitivity of a galvanometer ?
Mention the factors on which it depends.
(2) A galvanometer of resistance G is converted into a
voltmeter of range (0 – V) by using a resistance R. Find
the resistance, in terms of R and G, required to convert it
into a voltmeter of range $\left(0 - \frac{V}{2}\right)$.
| 5 |
[
"Current sensitivity of galvanometer",
"Conversion of galvanometer to voltmeter"
] |
Moving Charges and Magnetism
| null |
[
{
"part": "(a) (i) (1)",
"text": "What is meant by current sensitivity of a galvanometer ?\nMention the factors on which it depends."
},
{
"part": "(a) (i) (2)",
"text": "A galvanometer of resistance G is converted into a\nvoltmeter of range (0 – V) by using a resistance R. Find\nthe resistance, in terms of R and G, required to convert it\ninto a voltmeter of range $\\left(0 - \\frac{V}{2}\\right)$."
}
] | null | null | null | null | null | null | null |
304 |
32.
|
standard
|
(a) (ii) The magnetic flux through a coil of resistance 5 $\Omega$ increases
with time as :
$\phi = (2.0 t^3 + 5.0 t^2 + 6.0 t)$ mWb
Find the magnitude of induced current through the coil at
t = 2 s.
| 5 |
[
"Magnetic flux",
"Induced current",
"Faraday's law"
] |
Electromagnetic Induction
| null |
[
{
"part": "(a) (ii)",
"text": "The magnetic flux through a coil of resistance 5 $\\Omega$ increases\nwith time as :\n$\\phi = (2.0 t^3 + 5.0 t^2 + 6.0 t)$ mWb\nFind the magnitude of induced current through the coil at\nt = 2 s."
}
] | null | null | null | null | null | null | null |
305 |
32.
|
standard
|
(b) (i) A rectangular coil of N turns and area of cross-section A is
rotated at a steady angular speed $\omega$ in a uniform magnetic
field. Obtain an expression for the emf induced in the coil at
any instant of time.
| 5 |
[
"Electromagnetic induction",
"Motional EMF"
] |
Electromagnetic Induction
| null |
[
{
"part": "(b) (i)",
"text": "A rectangular coil of N turns and area of cross-section A is\nrotated at a steady angular speed $\\omega$ in a uniform magnetic\nfield. Obtain an expression for the emf induced in the coil at\nany instant of time."
}
] | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": "32.",
"question_text": "(a) (i) (1) What is meant by current sensitivity of a galvanometer ?\nMention the factors on which it depends.\n(2) A galvanometer of resistance G is converted into a\nvoltmeter of range (0 – V) by using a resistance R. Find\nthe resistance, in terms of R and G, required to convert it\ninto a voltmeter of range $\\left(0 - \\frac{V}{2}\\right)$.",
"question_type": "standard",
"related_chapter": "Moving Charges and Magnetism",
"related_topics": [
"Current sensitivity of galvanometer",
"Conversion of galvanometer to voltmeter"
],
"sub_parts": [
{
"part": "(a) (i) (1)",
"text": "What is meant by current sensitivity of a galvanometer ?\nMention the factors on which it depends."
},
{
"part": "(a) (i) (2)",
"text": "A galvanometer of resistance G is converted into a\nvoltmeter of range (0 – V) by using a resistance R. Find\nthe resistance, in terms of R and G, required to convert it\ninto a voltmeter of range $\\left(0 - \\frac{V}{2}\\right)$."
}
],
"text": null,
"vi_candidate": null
}
| null | null | null | null | null |
306 |
32.
|
standard
|
(b) (ii) Two coplanar and concentric circular loops L₁ and L2 are
placed coaxially with their centres coinciding. The radii of L1
and L2 are 1 cm and 100 cm respectively. Calculate the
mutual inductance of the loops. (Take $\pi^2 = 10$)
| 5 |
[
"Mutual inductance"
] |
Electromagnetic Induction
| null |
[
{
"part": "(b) (ii)",
"text": "Two coplanar and concentric circular loops L₁ and L2 are\nplaced coaxially with their centres coinciding. The radii of L1\nand L2 are 1 cm and 100 cm respectively. Calculate the\nmutual inductance of the loops. (Take $\\pi^2 = 10$)"
}
] | null | null | null | null | null | null | null |
307 |
33.
|
standard
|
(a) (i) Trace the path of a ray of light showing refraction through a
triangular prism and hence obtain an expression for angle of
deviation ($\delta$) in terms of A, i and e, where symbols have their
usual meanings. Draw a graph showing the variation of angle
of deviation with the angle of incidence.
| 25 |
[
"Refraction through a prism",
"Angle of deviation"
] |
Ray Optics and Optical Instruments
| null |
[
{
"part": "(a) (i)",
"text": "Trace the path of a ray of light showing refraction through a\ntriangular prism and hence obtain an expression for angle of\ndeviation ($\\delta$) in terms of A, i and e, where symbols have their\nusual meanings. Draw a graph showing the variation of angle\nof deviation with the angle of incidence."
}
] | null | null | null | null | null | null | null |
308 |
(ii)
|
standard
|
In the figure, a ray of light is incident on a transparent liquid contained in a thin glass box at an angle of 45° with its one face. The emergent ray passes along the face AB. Find the refractive index of the liquid.
| 5 |
[
"Refraction",
"Total Internal Reflection"
] |
Ray Optics and Optical Instruments
|
[
"img\\img_68.jpeg"
] | null | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": "(b)",
"question_text": "The displacement of two light waves, each of amplitude 'a' and frequency ω, emanating from two coherent sources of light, are given by $y_1 = a \\cos \\omega t$ and $y_2 = a \\cos (\\omega t + \\phi)$. $\\phi$ is the phase difference between the two waves. These light waves superpose at a point. Obtain the expression for the resultant intensity at that point.",
"question_type": "standard",
"related_chapter": "Wave Optics",
"related_topics": [
"Interference",
"Superposition of Waves"
],
"sub_parts": [
{
"part": "(i)",
"text": "The displacement of two light waves, each of amplitude 'a' and frequency ω, emanating from two coherent sources of light, are given by $y_1 = a \\cos \\omega t$ and $y_2 = a \\cos (\\omega t + \\phi)$. $\\phi$ is the phase difference between the two waves. These light waves superpose at a point. Obtain the expression for the resultant intensity at that point."
},
{
"part": "(ii)",
"text": "In Young's double slit experiment, find the ratio of intensities at two points on a screen when waves emanating from two slits reaching these points have path differences (i) $\\frac{\\lambda}{6}$ and (ii) $\\frac{\\lambda}{12}$."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
309 |
1
|
standard
|
The plates P₁ and P₂ of a 2 µF capacitor are at potentials 25 V and – 25 V respectively. The charge on plate P₁ will be :
| 1 |
[
"Capacitance",
"Electric Potential",
"Charge on a capacitor"
] |
Electrostatic Potential and Capacitance
| null | null |
{
"A": "0.02 mC",
"B": "0.1 mC",
"C": "0.1 μC",
"D": "1 μC"
}
| null | false | null | null | null | null |
310 |
2
|
standard
|
A proton is taken from point P₁ to point P₂, both located in an electric field. The potentials at points P₁ and P₂ are – 5 V and + 5 V respectively. Assuming that kinetic energies of the proton at points P₁ and P₂ are zero, the work done on the proton is :
| 1 |
[
"Electric Potential",
"Work done by electric field",
"Potential difference"
] |
Electrostatic Potential and Capacitance
| null | null |
{
"A": "- 1.6 × 10⁻¹⁸ J",
"B": "1.6 × 10⁻¹⁸ J",
"C": "Zero",
"D": "0.8 × 10⁻¹⁸ J"
}
| null | false | null | null | null | null |
311 |
3
|
standard
|
A 2.0 cm segment of wire, carrying 5.0 A current in positive y-direction lies along y-axis, as shown in the figure. The magnetic field at a point (3 m, 4 m, 0) due to this segment (part of a circuit) is :
| 1 |
[
"Magnetic field due to a current-carrying wire",
"Biot-Savart Law"
] |
Moving Charges and Magnetism
|
[
"img\\img_69.jpeg"
] | null |
{
"A": "(0.12 nT) $\\hat{j}$",
"B": "– (0.10 nT) $\\hat{j}$",
"C": "– (0.24 nT) $\\hat{k}$",
"D": "(0.24 nT) $\\hat{k}$"
}
| null | false | null | null | null | null |
312 |
4
|
standard
|
Which of the following is a diamagnetic substance ?
| 1 |
[
"Magnetic properties of materials",
"Diamagnetism"
] |
Magnetism and Matter
| null | null |
{
"A": "Gadolinium",
"B": "Sodium",
"C": "Copper chloride",
"D": "Sodium chloride"
}
| null | false | null | null | null | null |
313 |
5
|
standard
|
A current carrying circular loop of magnetic moment $\vec{M}$ is suspended in a vertical plane in an external magnetic field $\vec{B}$ such that its plane is normal to $\vec{B}$. The work done in rotating this loop by $45^\circ$ about an axis perpendicular to $\vec{B}$ is closest to :
| 1 |
[
"Torque on a current loop in a magnetic field",
"Work done in rotation"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "- 0.3 MB",
"B": "0.3 MB",
"C": "- 1.7 MB",
"D": "1.7 MB"
}
| null | false | null | null | null | null |
314 |
6
|
standard
|
The average value of the alternating voltage v = (157 V) sin ωt over its first half-cycle is :
| 1 |
[
"Alternating current",
"Average value of AC"
] |
Alternating Current
| null | null |
{
"A": "157 V",
"B": "$\\frac{157}{\\sqrt{2}}$ V",
"C": "78.5 V",
"D": "100 V"
}
| null | false | null | null | null | null |
315 |
7
|
standard
|
Consider a solenoid of length $l$ and area of cross-section A with fixed number of turns. The self-inductance of the solenoid will increase if :
| 1 |
[
"Self-induction",
"Inductance of a solenoid"
] |
Electromagnetic Induction
| null | null |
{
"A": "both $l$ and A are increased",
"B": "$l$ is decreased and A is increased",
"C": "$l$ is increased and A is decreased",
"D": "both $l$ and A are decreased"
}
| null | false | null | null | null | null |
316 |
8
|
standard
|
A plane electromagnetic wave is travelling in air in + x direction. At a particular moment, its electric field $\vec{E}$ is along + y direction. At that moment, the magnetic field $\vec{B}$ is along :
| 1 |
[
"Electromagnetic waves",
"Direction of propagation",
"Electric and magnetic field vectors"
] |
Electromagnetic Waves
| null | null |
{
"A": "+ z direction and in phase with $\\vec{E}$",
"B": "- z direction and in phase with $\\vec{E}$",
"C": "+ z direction and out of phase with $\\vec{E}$",
"D": "- z direction and out of phase with $\\vec{E}$"
}
| null | false | null | null | null | null |
317 |
9
|
standard
|
A proton and an alpha particle having equal velocities approach a target nucleus. They come momentarily to rest and then reverse their directions. The ratio of the distance of closest approach of the proton to that of the alpha particle will be :
| 1 |
[
"Electrostatic potential energy",
"Distance of closest approach",
"Nuclear physics"
] |
Electrostatic Potential and Capacitance
| null | null |
{
"A": "$\\frac{1}{2}$",
"B": "2",
"C": "$\\frac{1}{4}$",
"D": "4"
}
| null | false | null | null | null | null |
318 |
10
|
standard
|
The wavelength of matter wave associated with an electron of kinetic energy K is $\lambda$. If the kinetic energy of the electron is doubled, the associated wavelength becomes :
| 1 |
[
"Dual nature of radiation and matter",
"Matter waves",
"de-Broglie relation",
"Kinetic energy and wavelength"
] |
Dual Nature of Radiation and Matter
| null | null |
{
"A": "$\\frac{\\lambda}{\\sqrt{2}}$",
"B": "$\\frac{\\lambda}{2}$",
"C": "$\\sqrt{2} \\lambda$",
"D": "$2 \\lambda$"
}
| null | false | null | null | null | null |
319 |
11
|
standard
|
An electron makes a transition from n = 2 level to n = 1 level in the Bohr model of a hydrogen atom. Its period of revolution :
| 1 |
[
"Bohr model of hydrogen atom",
"Energy levels",
"Period of revolution"
] |
Atoms
| null | null |
{
"A": "increases by 87.5%",
"B": "decreases by 87.5%",
"C": "increases by 43.75%",
"D": "decreases by 43.75%"
}
| null | false | null | null | null | null |
320 |
12
|
standard
|
Si is doped with a pentavalent element. The energy required to set the additional electron free is about :
| 1 |
[
"Doping",
"Semiconductors",
"Energy bands"
] |
Semiconductor Electronics: Materials, Devices and Simple Circuits
| null | null |
{
"A": "0.01 eV",
"B": "0.05 eV",
"C": "0.72 eV",
"D": "1.1 eV"
}
| null | false | null | null | null | null |
321 |
13
|
assertion_reason
| null | 1 |
[
"Energy bands in semiconductors",
"Valence band",
"Conduction band",
"Doping",
"Donor energy level"
] |
Semiconductor Electronics: Materials, Devices and Simple Circuits
| null | null |
{
"A": "Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).",
"B": "Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of the Assertion (A).",
"C": "Assertion (A) is true but Reason (R) is false.",
"D": "Assertion (A) is false and Reason (R) is also false."
}
| null | null |
In a semiconductor, the electrons in the conduction band have lesser energy than those in the valence band.
|
Donor energy level is just above the valence band in a semiconductor.
| null | null |
322 |
14
|
assertion_reason
| null | null |
[
"Photoelectric effect",
"Particle nature of light"
] |
Dual Nature of Radiation and Matter
| null | null |
{
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
}
| null | null |
Photoelectric effect demonstrates the particle nature of light.
|
Photoelectric current is proportional to frequency of incident radiation.
| null | null |
323 |
15
|
assertion_reason
| null | null |
[
"Motion in magnetic field",
"Momentum",
"Radius of circular path"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
}
| null | null |
A proton and an electron enter a uniform magnetic field $\vec{B}$ with the same momentum $\vec{p}$ such that $\vec{p}$ is perpendicular to $\vec{B}$. They describe circular paths of the same radius.
|
In a magnetic field, orbital radius r is equal to $\frac{p}{qB}$.
| null | null |
324 |
16
|
assertion_reason
| null | null |
[
"Refraction",
"Lenses",
"Refractive index"
] |
Ray Optics and Optical Instruments
| null | null |
{
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
}
| null | null |
A convex lens, when immersed in a liquid, disappears.
|
The refractive indices of material of the lens and the liquid are equal.
| null | null |
325 |
17
|
standard
|
What is meant by 'relaxation time' of free electrons in a conductor ? Show that the resistance of a conductor can be expressed by R = $\frac{ml}{ne^2\tau A}$, where symbols have their usual meanings.
| 2 |
[
"Drift velocity",
"Relaxation time",
"Resistance",
"Conductivity"
] |
Current Electricity
| null |
[
{
"part": "(a)",
"text": "What is meant by 'relaxation time' of free electrons in a conductor ? Show that the resistance of a conductor can be expressed by R = $\\frac{ml}{ne^2\\tau A}$, where symbols have their usual meanings."
}
] | null |
{
"figure_paths": null,
"marks": 2,
"options": null,
"or_question": null,
"question_number": "17",
"question_text": "Draw the circuit diagram of a Wheatstone bridge. Obtain the condition when no current flows through the galvanometer in it.",
"question_type": "standard",
"related_chapter": "Current Electricity",
"related_topics": [
"Wheatstone bridge",
"Kirchhoff's rules"
],
"sub_parts": [
{
"part": "(b)",
"text": "Draw the circuit diagram of a Wheatstone bridge. Obtain the condition when no current flows through the galvanometer in it."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
326 |
18
|
standard
|
The magnifying power of an astronomical telescope is 24. In normal adjustment, distance between its two lenses is 150 cm. Find the focal length of the objective lens.
| 2 |
[
"Astronomical telescope",
"Magnifying power",
"Focal length"
] |
Ray Optics and Optical Instruments
| null |
[] | null | null | false | null | null | null | null |
327 |
19
|
standard
|
What is a sustained or stable interference pattern ? What are the conditions for obtaining such an interference pattern ?
| 2 |
[
"Interference",
"Coherent sources"
] |
Wave Optics
| null | null | null | null | false | null | null | null | null |
328 |
20
|
standard
|
Light of wavelength 600 nm is incident on potassium (work function 2.3 eV). Will photoemission of electrons occur ? What is the longest wavelength that will cause photoemission of electrons ?
| 2 |
[
"Photoelectric effect",
"Work function",
"Threshold wavelength"
] |
Dual Nature of Radiation and Matter
| null | null | null | null | false | null | null | null | null |
329 |
21
|
standard
|
Suppose a pure Si crystal has $5 \times 10^{28}$ atoms m$^{-3}$. It is doped by 1 ppm concentration of boron. Calculate the concentration of holes and electrons, given that $n_i = 1.5 \times 10^{16}$ m$^{-3}$. Is the doped crystal n-type or p-type ?
| 2 |
[
"Semiconductors",
"Doping",
"Intrinsic and extrinsic semiconductors",
"p-type semiconductor",
"n-type semiconductor"
] |
Semiconductor Electronics: Materials, Devices and Simple Circuits
| null | null | null | null | false | null | null | null | null |
330 |
22
|
standard
|
A current of 1.6 A flows through a wire when a potential difference of 1.0 V is applied across it. The length and cross-sectional area of the wire are 1.0 m and $1.0 \times 10^{-7}$ m$^2$ respectively. Calculate :
| 3 |
[
"Electric current",
"Potential difference",
"Electric field",
"Current density",
"Drift velocity",
"Relaxation time"
] |
Current Electricity
| null |
[
{
"part": "(a)",
"text": "Electric field across the wire"
},
{
"part": "(b)",
"text": "Current density"
},
{
"part": "(c)",
"text": "Average relaxation time ($\\tau$)\n(Number density of free electrons in the wire is $9.0 \\times 10^{28}$ m$^{-3}$)"
}
] | null | null | false | null | null | null | null |
331 |
23
|
standard
|
An electron (charge – e, mass m) is revolving around a nucleus, in a hydrogen atom, in a circle of radius r. Derive an expression, in vector form, for the magnetic dipole moment, $\vec{\mu}_e$ in terms of its orbital angular momentum $\vec{L}$. What is gyromagnetic ratio ?
| 3 |
[
"Magnetic dipole moment of a revolving electron",
"Orbital angular momentum",
"Gyromagnetic ratio"
] |
Moving Charges and Magnetism
| null | null | null | null | false | null | null | null | null |
332 |
24
|
standard
|
Prove that induced charge depends on the net change in the magnetic flux and not on the time interval of the flux change.
| 3 |
[
"Electromagnetic induction",
"Faraday's laws",
"Induced charge"
] |
Electromagnetic Induction
| null | null | null | null | false | null | null | null | null |
333 |
25.
|
standard
|
The electric field in an electromagnetic wave in vacuum is given by :
$\vec{E} = (6.3 \text{ N/C}) [\cos (1.5 \text{ rad/m}) y + (4.5 \times 10^8 \text{ rad/s}) t] \hat{i}$
| 3 |
[
"Electromagnetic Waves",
"Electric Field",
"Wavelength",
"Frequency",
"Amplitude"
] |
Electromagnetic Waves
| null |
[
{
"part": "(a)",
"text": "Find the wavelength and frequency of the wave."
},
{
"part": "(b)",
"text": "What is the amplitude of the magnetic field of the wave ?"
},
{
"part": "(c)",
"text": "Write an expression for the magnetic field of this wave."
}
] | null | null | false | null | null | null | null |
334 |
26.
|
standard
|
State Bohr's second postulate for his theory of hydrogen atom. Prove that the radius of Bohr's orbit of a hydrogen atom is directly proportional to n$^2$, where n is the principal quantum number.
| 3 |
[
"Bohr model of hydrogen atom",
"Postulates of Bohr's theory",
"Radius of Bohr's orbit",
"Principal quantum number"
] |
Atoms
| null | null | null | null | false | null | null | null | null |
335 |
27.
|
standard
| 3 |
[
"Atomic mass unit",
"Nuclear binding energy",
"Mass defect"
] |
Nuclei
| null |
[
{
"part": "(a)",
"text": "Define atomic mass unit (u)."
},
{
"part": "(b)",
"text": "Calculate the energy required to separate a deuteron into its constituent parts (a proton and a neutron). Given :\nm(D) = 2.014102 u\nm$_H$ = 1.007825 u\nm$_n$ = 1.008665 u"
}
] | null | null | false | null | null | null | null |
|
336 |
28.
|
standard
| 3 |
[
"p-n junction diode",
"V-I characteristics",
"Forward biasing",
"Reverse biasing",
"Energy bands",
"Insulator",
"Semiconductor",
"Conductor"
] |
Semiconductor Electronics: Materials, Devices and Simple Circuits
| null |
[
{
"part": "(a)",
"text": "Draw the circuit diagrams for obtaining the V – I characteristics of a p-n junction diode. Explain briefly the salient features of the V - I characteristics in (i) forward biasing, and (ii) reverse biasing."
}
] | null |
{
"figure_paths": null,
"marks": 3,
"options": null,
"or_question": null,
"question_number": "28.",
"question_text": "On the basis of energy band diagrams, distinguish between (i) an insulator, (ii) a semiconductor, and (iii) a conductor.",
"question_type": "standard",
"related_chapter": "Semiconductor Electronics: Materials, Devices and Simple Circuits",
"related_topics": [
"Energy bands",
"Insulator",
"Semiconductor",
"Conductor"
],
"sub_parts": [
{
"part": "(b)",
"text": "On the basis of energy band diagrams, distinguish between (i) an insulator, (ii) a semiconductor, and (iii) a conductor."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
|
337 |
29
|
case_study
| null | 4 |
[
"Electric Field",
"Electric Potential",
"Motion of Charges in Electric Field"
] |
Chapter–2: Electrostatic Potential and Capacitance
|
[
"pathiimg\\img_70.jpeg",
"path:Img\\img_71:jpeg"
] | null | null | null | null | null | null |
The figure shows four pairs of parallel identical conducting plates, separated by the same distance 2.0 cm and arranged perpendicular to x-axis. The electric potential of each plate is mentioned. The electric field between a pair of plates is uniform and normal to the plates.
|
[
{
"number": "(i)",
"options": {
"A": "I",
"B": "II",
"C": "III",
"D": "IV"
},
"text": "For which pair of the plates is the electric field $\\vec{E}$ along $\\hat{i}$ ?"
},
{
"number": "(ii)",
"options": {
"A": "move along $\\hat{i}$ at constant speed",
"B": "move along $-\\hat{i}$ at constant speed",
"C": "accelerate along $\\hat{i}$",
"D": "accelerate along $-\\hat{i}$"
},
"text": "An electron is released midway between the plates of pair IV. It will :"
},
{
"number": "(iii)",
"options": {
"A": "V = $V_0 + \\alpha x$",
"B": "V = $V_0 + \\alpha x^2$",
"C": "V = $V_0 + \\alpha x^{1/2}$",
"D": "V = $V_0 + \\alpha x^{3/2}$"
},
"text": "Let $V_0$ be the potential at the left plate of any set, taken to be at x = 0 m. Then potential V at any point ($0 \\le x \\le 2$ cm) between the plates of that set can be expressed as :"
}
] |
338 |
(iii)(a)
|
standard
|
If instead of 450 nm light, another light of wavelength 680 nm is used, number of peaks of the interference formed in the central peak of the envelope of the diffraction pattern will be :
| 1 |
[
"Wave Optics",
"Diffraction",
"Interference"
] |
Chapter–10: Wave Optics
| null | null |
{
"A": "2",
"B": "4",
"C": "6",
"D": "9"
}
|
{
"figure_paths": null,
"marks": 1,
"options": {
"A": "sin-1 (0.12)",
"B": "sin-1 (0.225)",
"C": "sin-1 (0.32)",
"D": "sin-1 (0.45)"
},
"or_question": null,
"question_number": "(iii)(b)",
"question_text": "Consider the diffraction of light by a single slit described in this case study. The first minimum falls at an angle 0 equal to:",
"question_type": "standard",
"related_chapter": "Chapter–10: Wave Optics",
"related_topics": [
"Wave Optics",
"Diffraction"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
339 |
(iv)
|
standard
|
The number of bright fringes formed due to interference on 1 m of screen placed at $\frac{4}{3}$ m away from the slits is :
| 1 |
[
"Wave Optics",
"Interference"
] |
Chapter–10: Wave Optics
| null | null |
{
"A": "2",
"B": "3",
"C": "6",
"D": "10"
}
| null | false | null | null | null | null |
340 |
31
|
standard
| null | 5 |
[
"Electrostatic Potential",
"Capacitance",
"Dielectrics",
"Electric Potential due to a point charge"
] |
Chapter–2: Electrostatic Potential and Capacitance
| null |
[
{
"part": "(i)",
"text": "Obtain the expression for the capacitance of a parallel plate capacitor with a dielectric medium between its plates."
},
{
"part": "(ii)",
"text": "A charge of 6 $\\mu$C is given to a hollow metallic sphere of radius 0.2 m. Find the potential at (i) the surface and (ii) the centre of the sphere."
}
] | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": "31",
"question_text": null,
"question_type": "standard",
"related_chapter": "Chapter–1: Electric Charges and Fields",
"related_topics": [
"Gauss's Theorem",
"Electric Field due to a charged spherical shell",
"Electric Field due to a charged plate"
],
"sub_parts": [
{
"part": "(i)",
"text": "A charge + Q is placed on a thin conducting spherical shell of radius R. Use Gauss's theorem to derive an expression for the electric field at a point lying (i) inside and (ii) outside the shell."
},
{
"part": "(ii)",
"text": "Show that the electric field for same charge density ($\\sigma$) is twice in case of a conducting plate or surface than in a nonconducting sheet."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
341 |
(ii)
|
standard
|
In the figure, a ray of light is incident on a transparent liquid contained in a thin glass box at an angle of $45^\circ$ with its one face. The emergent ray passes along the face AB. Find the refractive index of the liquid.
| 5 |
[
"Refraction",
"Snell's Law",
"Total Internal Reflection"
] |
Ray Optics and Optical Instruments
|
[
"img\\img_72.jpeg"
] | null | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": "(b)",
"question_text": "The displacement of two light waves, each of amplitude 'a' and frequency $\\omega$, emanating from two coherent sources of light, are given by $y_1 = a \\cos \\omega t$ and $y_2 = a \\cos (\\omega t + \\phi)$. $\\phi$ is the phase difference between the two waves. These light waves superpose at a point. Obtain the expression for the resultant intensity at that point.",
"question_type": "standard",
"related_chapter": "Wave Optics",
"related_topics": [
"Superposition of waves",
"Interference",
"Resultant Intensity"
],
"sub_parts": [
{
"part": "(i)",
"text": "The displacement of two light waves, each of amplitude 'a' and frequency $\\omega$, emanating from two coherent sources of light, are given by $y_1 = a \\cos \\omega t$ and $y_2 = a \\cos (\\omega t + \\phi)$. $\\phi$ is the phase difference between the two waves. These light waves superpose at a point. Obtain the expression for the resultant intensity at that point."
},
{
"part": "(ii)",
"text": "In Young's double slit experiment, find the ratio of intensities at two points on a screen when waves emanating from two slits reaching these points have path differences (i) $\\frac{\\lambda}{6}$ and (ii) $\\frac{\\lambda}{12}$."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
342 |
1
|
standard
|
Two charges + q each are kept '2a' distance apart. A third charge – 2q is placed midway between them. The potential energy of the system is –
| 1 |
[
"Electric potential energy",
"System of charges"
] |
Electrostatic Potential and Capacitance
|
[] | null |
{
"A": "\\(\\frac{q^2}{8\\pi\\epsilon_0a}\\)",
"B": "\\(-\\frac{6q^2}{8\\pi\\epsilon_0a}\\)",
"C": "\\(-\\frac{7q^2}{8\\pi\\epsilon_0a}\\)",
"D": "\\(\\frac{9q^2}{8\\pi\\epsilon_0a}\\)"
}
| null | false | null | null | null | null |
343 |
2
|
standard
|
Two identical small conducting balls B₁ and B₂ are given –7 pC and + 4 pC charges respectively. They are brought in contact with a third identical ball B₃ and then separated. If the final charge on each ball is –2 pC, the initial charge on B₃ was
| 1 |
[
"Properties of charges",
"Conductors"
] |
Electric Charges and Fields
|
[] | null |
{
"A": "-2 pC",
"B": "-3 pC",
"C": "-5 pC",
"D": "-15 pC"
}
| null | false | null | null | null | null |
344 |
3
|
standard
|
The quantum nature of light explains the observations on photoelectric effect as –
| 1 |
[
"Photoelectric effect",
"Quantum nature of light"
] |
Dual Nature of Radiation and Matter
|
[] | null |
{
"A": "there is a minimum frequency of incident radiation below which no electrons are emitted.",
"B": "the maximum kinetic energy of photoelectrons depends only on the frequency of incident radiation.",
"C": "when the metal surface is illuminated, electrons are ejected from the surface after sometime.",
"D": "the photoelectric current is independent of the intensity of incident radiation."
}
| null | false | null | null | null | null |
345 |
4
|
standard
|
The radius (rₙ) of nᵗʰ orbit in Bohr model of hydrogen atom varies with n as
| 1 |
[
"Bohr model of hydrogen atom"
] |
Atoms
|
[] | null |
{
"A": "rₙ ∝ n",
"B": "rₙ ∝ \\(\\frac{1}{n}\\)",
"C": "rₙ ∝ n²",
"D": "rₙ ∝ \\(\\frac{1}{n^2}\\)"
}
| null | false | null | null | null | null |
346 |
5
|
standard
|
A straight wire is kept horizontally along east-west direction. If a steady current flows in wire from east to west, the magnetic field at a point above the wire will point towards
| 1 |
[
"Magnetic field due to a current carrying conductor",
"Right-hand thumb rule"
] |
Moving Charges and Magnetism
|
[
"img\\img_87.jpeg"
] | null |
{
"A": "East",
"B": "West",
"C": "North",
"D": "South"
}
| null | false | null | null | null | null |
347 |
6
|
standard
|
The magnetic susceptibility for a diamagnetic material is
| 1 |
[
"Magnetic properties of materials",
"Diamagnetism"
] |
Magnetism and Matter
| null | null |
{
"A": "small and negative",
"B": "small and positive",
"C": "large and negative",
"D": "large and positive"
}
| null | false | null | null | null | null |
348 |
7
|
standard
|
A galvanometer of resistance 100 Ω is converted into an ammeter of range (0 – 1 A) using a resistance of 0.1 Ω. The ammeter will show full scale deflection for a current of about
| 1 |
[
"Moving coil galvanometer",
"Conversion to ammeter"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "0.1 mA",
"B": "1 mA",
"C": "10 mA",
"D": "0.1 A"
}
| null | false | null | null | null | null |
349 |
8
|
standard
|
A circular loop A of radius R carries a current I. Another circular loop B of radius r = $\frac{R}{20}$ is placed concentrically in the plane of A. The magnetic flux linked with loop B is proportional to
| 1 |
[
"Magnetic flux",
"Magnetic field due to a current carrying loop"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "R",
"B": "$\\sqrt{R}$",
"C": "$R^{\\frac{3}{2}}$",
"D": "$R^2$"
}
| null | false | null | null | null | null |
350 |
9
|
standard
|
Figure shows the variation of inductive reactance $X_L$ of two ideal inductors of inductance $L_1$ and $L_2$, with angular frequency $\omega$. The value of $\frac{L_1}{L_2}$ is
| 1 |
[
"Inductive reactance",
"Inductance"
] |
Alternating Current
|
[
"img\\img_75.jpeg"
] | null |
{
"A": "$\\sqrt{3}$",
"B": "$\\frac{1}{\\sqrt{3}}$",
"C": "3",
"D": "$\\frac{1}{3}$"
}
| null | false | null | null | null | null |
351 |
10
|
standard
|
The phase difference between electric field $\vec{E}$ and magnetic field $\vec{B}$ in an electromagnetic wave propagating along z-axis is –
| 1 |
[
"Electromagnetic waves",
"Properties of electromagnetic waves"
] |
Electromagnetic Waves
|
[
"img\\img_87.jpeg"
] | null |
{
"A": "zero",
"B": "$\\pi$",
"C": "$\\frac{\\pi}{2}$",
"D": "$\\frac{\\pi}{4}$"
}
| null | null | null | null | null | null |
352 |
11
|
standard
|
A coil of N turns is placed in a magnetic field $\vec{B}$ such that $\vec{B}$ is perpendicular to the plane of the coil. B changes with time as $B = B_0 \cos\left(\frac{2\pi}{T}t\right)$ where T is time period. The magnitude of emf induced in the coil will be maximum at
| 1 |
[
"Electromagnetic Induction",
"Faraday's Laws",
"Induced EMF"
] |
Electromagnetic Induction
|
[
"img\\img_87.jpeg"
] |
[
{
"part": null,
"text": "Here, n = 1, 2, 3, 4, ..."
}
] |
{
"A": "t = $\\frac{nT}{8}$",
"B": "t = $\\frac{nT}{4}$",
"C": "t = $\\frac{nT}{2}$",
"D": "t = nT"
}
| null | null | null | null | null | null |
353 |
12
|
standard
|
In Balmer series of hydrogen atom, as the wavelength of spectral lines decreases, they appear
| 1 |
[
"Hydrogen spectrum",
"Balmer series"
] |
Atoms
|
[
"img\\img_87.jpeg"
] | null |
{
"A": "equally spaced and equally intense.",
"B": "further apart and stronger in intensity.",
"C": "closer together and stronger in intensity.",
"D": "closer together and weaker in intensity."
}
| null | null | null | null | null | null |
354 |
13
|
assertion_reason
| null | 1 |
[
"Photoelectric effect",
"Work function"
] |
Dual Nature of Radiation and Matter
|
[
"img\\img_87.jpeg"
] | null |
{
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true but Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
}
| null | null |
Electrons are ejected from the surface of zinc when it is irradiated by yellow light.
|
Energy associated with a photon of yellow light is more than the work function of zinc.
| null | null |
355 |
21. (a)
|
standard
|
An air bubble is trapped at point B (CB = 20 cm) in a glass sphere of radius 40 cm and refractive index 1.5 as shown in figure. Find the nature and position of the image of the bubble as seen by an observer at point P.
| 2 |
[
"Refraction at spherical surfaces"
] |
Ray Optics and Optical Instruments
|
[
"img\\img_87.jpeg",
"img\\img_79.jpeg"
] | null | null |
{
"figure_paths": null,
"marks": 2,
"options": null,
"or_question": null,
"question_number": "21. (b)",
"question_text": "In normal adjustment, for a refracting telescope, the distance between objective and eye piece lens is 1.00 m. If the magnifying power of the telescope is 19, find the focal length of the objective and the eyepiece lens.",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Refracting telescope",
"Magnifying power"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
356 |
22. (a)
|
standard
|
Differentiate between nuclear fission and fusion.
| 3 |
[
"Nuclear fission",
"Nuclear fusion"
] |
Nuclei
| null | null | null | null | false | null | null | null | null |
357 |
22. (b)
|
standard
|
The fission properties of $_{94}Pu^{239}$ are very similar to those of $_{92}U^{235}$. How much energy (in MeV), is released if all the atoms in 1 g of pure $_{94}Pu^{239}$ undergo fission ? The average energy released per fission is 180 MeV.
| 3 |
[
"Nuclear fission",
"Mass-energy relation"
] |
Nuclei
| null | null | null | null | false | null | null | null | null |
358 |
23.
|
standard
|
The electric field in a region is given by $\vec{E} = (10x + 4) \hat{i}$ where x is in m and E is in N/C. Calculate the amount of work done in taking a unit charge from
| 3 |
[
"Electric field",
"Work done by electric field",
"Electric potential"
] |
Electrostatic Potential and Capacitance
| null |
[
{
"part": "(i)",
"text": "(5 m, 0) to (10 m, 0)"
},
{
"part": "(ii)",
"text": "(5 m, 0) to (5 m, 10 m)"
}
] | null | null | false | null | null | null | null |
359 |
24.
|
standard
|
Draw the graph showing variation of scattered particles detected (N) with the scattering angle ($\theta$) in Geiger-Marsden experiment. Write two conclusions that you can draw from this graph. Obtain the expression for the distance of closest approach in this experiment.
| 3 |
[
"Alpha-particle scattering experiment",
"Distance of closest approach"
] |
Atoms
| null | null | null | null | false | null | null | null | null |
360 |
25.
|
standard
|
Find the current in branch BM in the network shown :
| 3 |
[
"Kirchhoff's rules",
"Current electricity",
"Circuit analysis"
] |
Current Electricity
|
[
"img\\img_87.jpeg",
"img\\img_81.jpeg"
] | null | null | null | false | null | null | null | null |
361 |
26.
|
standard
|
A circular loop of radius 10 cm carrying current of 1.0 A lies in x-y plane. A long straight wire lies in the same plane parallel to x-axis at a distance of 20 cm as shown in figure.
Find the direction and value of current that has to be maintained in the wire so that the net magnetic field at O is zero.
| 3 |
[
"Magnetic field due to a current carrying loop",
"Magnetic field due to a straight wire",
"Superposition of magnetic fields"
] |
Moving Charges and Magnetism
|
[
"img\\img_82.jpeg"
] | null | null | null | false | null | null | null | null |
362 |
27.
|
standard
|
Name the electromagnetic waves with their wavelength range which are used for
(i) FM radio broadcast
(ii) detection of fracture in bones
(iii) treatment of muscular strain
| 3 |
[
"Electromagnetic waves",
"Electromagnetic spectrum",
"Applications of electromagnetic waves"
] |
Electromagnetic Waves
| null |
[
{
"part": "(i)",
"text": "FM radio broadcast"
},
{
"part": "(ii)",
"text": "detection of fracture in bones"
},
{
"part": "(iii)",
"text": "treatment of muscular strain"
}
] | null | null | false | null | null | null | null |
363 |
28.
|
standard
|
(a) (i) Define mutual inductance. Write its SI unit.
(ii) Derive an expression for the mutual inductance of a system of two long coaxial solenoids of same length l, having turns N₁ and N₂ and of radii r₁ and r₂ (> r₁).
| 3 |
[
"Mutual inductance",
"Electromagnetic induction",
"Magnetic field of a solenoid"
] |
Electromagnetic Induction
| null |
[
{
"part": "(a) (i)",
"text": "Define mutual inductance. Write its SI unit."
},
{
"part": "(a) (ii)",
"text": "Derive an expression for the mutual inductance of a system of two long coaxial solenoids of same length l, having turns N₁ and N₂ and of radii r₁ and r₂ (> r₁)."
}
] | null |
{
"figure_paths": null,
"marks": 3,
"options": null,
"or_question": null,
"question_number": null,
"question_text": "(b) What are ferromagnetic materials ? Explain ferromagnetism with the help of suitable diagrams, using the concept of magnetic domain.",
"question_type": "standard",
"related_chapter": "Magnetism and Matter",
"related_topics": [
"Ferromagnetic materials",
"Magnetization",
"Magnetic domains"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
364 |
29
|
case_study
| null | 4 |
[
"Extrinsic Semiconductor",
"p-n junction",
"Doping",
"Diffusion",
"Drift",
"Semiconductor Diode",
"Rectification"
] |
Semiconductor Electronics: Materials, Devices and Simple Circuits
| null | null | null |
{
"figure_paths": null,
"marks": null,
"options": {
"A": "diffusion current is large and drift current is small.",
"B": "diffusion current is small and drift current is large.",
"C": "both the diffusion and the drift currents are large.",
"D": "both the diffusion and the drift currents are small."
},
"or_question": null,
"question_number": null,
"question_text": null,
"question_type": null,
"related_chapter": null,
"related_topics": null,
"sub_parts": null,
"text": "Initially during the formation of a p-n junction –",
"vi_candidate": null
}
| null | null | null |
A pure semiconductor like Ge or Si, when doped with a small amount of suitable impurity, becomes an extrinsic semiconductor. In thermal equilibrium, the electron and hole concentration in it are related to the concentration of intrinsic charge carriers. A p-type or n-type semiconductor can be converted into a p-n junction by doping it with suitable impurity. Two processes, diffusion and drift take place during formation of a p-n junction. A semiconductor diode is basically a p-n junction with metallic contacts provided at the ends for the application of an external voltage. A p-n junction diode allows currents to pass only in one direction when it is forward biased. Due to this property, a diode is widely used to rectify alternating voltages, in half-wave or full wave configuration.
|
[
{
"number": "(i)",
"options": {
"A": "0.001 eV",
"B": "0.01 eV",
"C": "0.72 eV",
"D": "1.1 eV"
},
"text": "When Ge is doped with pentavalent impurity, the energy required to free the weakly bound electron from the dopant is about"
},
{
"number": "(ii)",
"options": {
"A": "2 × 10$^{24}$ m$^{-3}$",
"B": "4 × 10$^{23}$ m$^{-3}$",
"C": "1 × 10$^{22}$ m$^{-3}$",
"D": "5 × 10$^{22}$ m$^{-3}$"
},
"text": "At a given temperature, the number of intrinsic charge carriers in a semiconductor is $2.0 \\times 10^{10}$ cm$^{-3}$. It is doped with pentavalent impurity atoms. As a result, the number of holes in it becomes $8 \\times 10^{3}$ cm$^{-3}$. The number of electrons in the semiconductor is"
},
{
"number": "(iii) (a)",
"options": {
"A": "electrons diffuse from p-region into n-region and holes diffuse from n-region into p-region.",
"B": "both electrons and holes diffuse from n-region into p-region.",
"C": "electrons diffuse from n-region into p-region and holes diffuse from p-region into n-region.",
"D": "both electrons and holes diffuse from p-region into n-region."
},
"text": "During the formation of a p-n junction –"
}
] |
365 |
(iv)(a)
|
standard
|
A thin convex lens L of focal length 10 cm and a concave mirror M of focal length 15 cm are placed coaxially 40 cm apart as shown in figure. A beam of light coming parallel to the principal axis is incident on the lens. The final image will be formed at a distance of
| null |
[
"Refraction through lenses",
"Reflection by spherical mirrors",
"Combination of lenses and mirrors"
] |
Ray Optics and Optical Instruments
|
[
"img\\img_87.jpeg",
"img\\img_86.jpeg"
] | null |
{
"A": "10 cm, left of lens",
"B": "10 cm, right of lens",
"C": "20 cm, left of lens",
"D": "20 cm, right of lens"
}
|
{
"figure_paths": null,
"marks": null,
"options": {
"A": "real, 24 cm",
"B": "virtual, 12 cm",
"C": "real, 32 cm",
"D": "virtual, 18 cm"
},
"or_question": null,
"question_number": "(iv)(b)",
"question_text": "A beam of light coming parallel to the principal axis of a convex lens L₁ of focal length 16 cm is incident on it. Another convex lens L₂ of focal length 12 cm is placed coaxially at a distance 40 cm from L₁. The nature and distance of the final image from L₂ will be",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Refraction through lenses",
"Combination of lenses"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
}
| false | null | null | null | null |
366 |
31. (a)
|
standard
| null | 5 |
[
"Reflection by spherical mirrors",
"Optical Instruments",
"Microscope"
] |
Ray Optics and Optical Instruments
| null |
[
{
"part": "(i)",
"text": "Draw a ray diagram for the formation of the image of an object by a convex mirror. Hence, obtain the mirror equation."
},
{
"part": "(ii)",
"text": "Why are multi-component lenses used for both the objective and the eyepiece in optical instruments ?"
},
{
"part": "(iii)",
"text": "The magnification of a small object produced by a compound microscope is 200. The focal length of the eyepiece is 2 cm and the final image is formed at infinity. Find the magnification produced by the objective."
}
] | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": "31. (b)",
"question_text": null,
"question_type": "standard",
"related_chapter": "Wave Optics",
"related_topics": [
"Wavefront and Rays",
"Huygen's Principle",
"Reflection of light",
"Young's Double Slit Experiment",
"Interference"
],
"sub_parts": [
{
"part": "(i)",
"text": "Differentiate between a wavefront and a ray."
},
{
"part": "(ii)",
"text": "State Huygen's principle and verify laws of reflection using suitable diagram."
},
{
"part": "(iii)",
"text": "In Young's double slit experiment, the slits S₁ and S₂ are 3 mm apart and the screen is placed 1.0 m away from the slits. It is observed that the fourth bright fringe is at a distance of 5 mm from the second dark fringe. Find the wavelength of light used."
}
],
"text": null,
"vi_candidate": null
}
| false | null | null | null | null |
367 |
32. (a)
|
standard
| null | 5 |
[
"Capacitors and Capacitance",
"Dielectrics and electric polarization",
"Combination of capacitors"
] |
Electrostatic Potential and Capacitance
| null |
[
{
"part": "(i)",
"text": "A dielectric slab of dielectric constant ‘K’ and thickness ‘t’ is inserted between plates of a parallel plate capacitor of plate separation d and plate area A. Obtain an expression for its capacitance."
},
{
"part": "(ii)",
"text": "Two capacitors of different capacitances are connected first (1) in series and then (2) in parallel across a dc source of 100 V. If the total energy stored in the combination in the two cases are 40 mJ and 250 mJ respectively, find the capacitance of the capacitors."
}
] | null | null | false | null | null | null | null |
368 |
32. (b)
|
standard
| null | 5 |
[
"Gauss's theorem and its applications",
"Electric flux",
"Electric field"
] |
Electric Charges and Fields
|
[
"img_88.jpeg"
] |
[
{
"part": "(i)",
"text": "Using Gauss's law, show that the electric field $\\vec{E}$ at a point due to a uniformly charged infinite plane sheet is given by $\\vec{E} = \\frac{\\sigma}{2\\epsilon_0} \\hat{n}$ where symbols have their usual meanings."
},
{
"part": "(ii)",
"text": "Electric field $\\vec{E}$ in a region is given by $\\vec{E} = (5x^2 + 2) \\hat{i}$ where E is in N/C and x is in meters. A cube of side 10 cm is placed in the region as shown in figure. Calculate (1) the electric flux through the cube, and (2) the net charge enclosed by the cube."
}
] | null |
{
"figure_paths": [
"img_87.jpeg"
],
"marks": 5,
"options": null,
"or_question": null,
"question_number": "32. (a)",
"question_text": null,
"question_type": "standard",
"related_chapter": "Electrostatic Potential and Capacitance",
"related_topics": [
"Capacitors and Capacitance",
"Dielectrics and electric polarization",
"Combination of capacitors"
],
"sub_parts": [
{
"part": "(i)",
"text": "A dielectric slab of dielectric constant ‘K’ and thickness ‘t’ is inserted between plates of a parallel plate capacitor of plate separation d and plate area A. Obtain an expression for its capacitance."
},
{
"part": "(ii)",
"text": "Two capacitors of different capacitances are connected first (1) in series and then (2) in parallel across a dc source of 100 V. If the total energy stored in the combination in the two cases are 40 mJ and 250 mJ respectively, find the capacitance of the capacitors."
}
],
"text": null,
"vi_candidate": false
}
| null | null | null | null | null |
369 |
33. (a)
|
standard
| null | 5 |
[
"Resonance",
"Impedance",
"LCR series circuit",
"Transformer",
"Energy losses in transformer"
] |
Alternating Current
| null |
[
{
"part": "(i)",
"text": "Mention the factors on which the resonant frequency of a series LCR circuit depends. Plot a graph showing variation of impedance of a series LCR circuit with the frequency of the applied a.c. source."
},
{
"part": "(ii)",
"text": "With the help of a suitable diagram, explain the working of a step-up transformer."
},
{
"part": "(iii)",
"text": "Write two causes of energy loss in a real transformer."
}
] | null | null | false | null | null | null | null |
370 |
33. (b)
|
standard
| null | 5 |
[
"AC generator",
"Current loop as a magnetic dipole",
"Magnetic dipole moment"
] |
Alternating Current
| null |
[
{
"part": "(i)",
"text": "With the help of a diagram, briefly explain the construction and working of ac generator."
},
{
"part": "(ii)",
"text": "An electron is revolving around a proton in an orbit of radius r with a speed v. Obtain expression for magnetic moment associated with the electron."
}
] | null |
{
"figure_paths": null,
"marks": 5,
"options": null,
"or_question": null,
"question_number": "33. (a)",
"question_text": null,
"question_type": "standard",
"related_chapter": "Alternating Current",
"related_topics": [
"Resonance",
"Impedance",
"LCR series circuit",
"Transformer",
"Energy losses in transformer"
],
"sub_parts": [
{
"part": "(i)",
"text": "Mention the factors on which the resonant frequency of a series LCR circuit depends. Plot a graph showing variation of impedance of a series LCR circuit with the frequency of the applied a.c. source."
},
{
"part": "(ii)",
"text": "With the help of a suitable diagram, explain the working of a step-up transformer."
},
{
"part": "(iii)",
"text": "Write two causes of energy loss in a real transformer."
}
],
"text": null,
"vi_candidate": false
}
| null | null | null | null | null |
371 |
1
|
standard
|
Three point charges, each of charge q are placed on vertices of a triangle ABC, with AB = AC = 5L, BC = 6L. The electrostatic potential at midpoint of side BC will be
| 1 |
[
"Electric potential",
"Electric potential due to a point charge",
"Electric potential due to system of charges"
] |
Electrostatic Potential and Capacitance
| null | null |
{
"A": "$\\frac{11\\,q}{48\\pi\\epsilon_0L}$",
"B": "$\\frac{8q}{36\\pi\\epsilon_0L}$",
"C": "$\\frac{5q}{24\\pi\\epsilon_0L}$",
"D": "$\\frac{1\\,q}{16\\pi\\epsilon_0L}$"
}
| null | null | null | null | null | null |
372 |
2
|
standard
|
The Coulomb force (F) versus (1/r²) graphs for two pairs of point charges (q₁ and q₂) and (q₂ and q₃) are shown in figure. The charge q₂ is positive and has least magnitude. Then
| 1 |
[
"Coulomb's law",
"Force between two-point charges"
] |
Electric Charges and Fields
|
[
"img\\img_90.png"
] | null |
{
"A": "q₁ > q₂ > q₃",
"B": "q₁ > q₃ > q₂",
"C": "q₃ > q₂ > q₁",
"D": "q₃ > q₁ > q₂"
}
| null | null | null | null | null | null |
373 |
3
|
standard
|
The magnetic susceptibility for a diamagnetic material is
| 1 |
[
"Magnetic properties of materials",
"Dia-magnetic substances"
] |
Magnetism and Matter
| null | null |
{
"A": "small and negative",
"B": "small and positive",
"C": "large and negative",
"D": "large and positive"
}
| null | null | null | null | null | null |
374 |
4
|
standard
|
A circular loop A of radius R carries a current I. Another circular loop B of radius r = $\left(\frac{R}{20}\right)$ is placed concentrically in the plane of A. The magnetic flux linked with loop B is proportional to
| 1 |
[
"Magnetic flux",
"Magnetic field due to a current carrying circular loop"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "R",
"B": "$\\sqrt{R}$",
"C": "$R^{\\frac{3}{2}}$",
"D": "$R^2$"
}
| null | null | null | null | null | null |
375 |
5
|
standard
|
A particle of mass m and charge q is moving with velocity $\vec{v} = v_x\hat{i} + v_y\hat{j}$. If it is subjected to a magnetic field $\vec{B} = B_0\hat{i}$, it will move in a –
| 1 |
[
"Force on a moving charge in uniform magnetic and electric fields"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "straight line path",
"B": "circular path",
"C": "helical path",
"D": "parabolic path"
}
| null | null | null | null | null | null |
376 |
6
|
standard
|
The quantum nature of light explains the observations on photoelectric effect as –
| 1 |
[
"Photoelectric effect",
"Quantum nature of light"
] |
Dual Nature of Radiation and Matter
|
[
"img\\img 104.jpeg"
] | null |
{
"A": "there is a minimum frequency of incident radiation below which no electrons are emitted.",
"B": "the maximum kinetic energy of photoelectrons depends only on the frequency of incident radiation.",
"C": "when the metal surface is illuminated, electrons are ejected from the surface after sometime.",
"D": "the photoelectric current is independent of the intensity of incident radiation."
}
| null | false | null | null | null | null |
377 |
7
|
standard
|
The phase difference between electric field $\vec{E}$ and magnetic field $\vec{B}$ in an electromagnetic wave propagating along z-axis is –
| 1 |
[
"Electromagnetic waves",
"Properties of electromagnetic waves"
] |
Electromagnetic Waves
| null | null |
{
"A": "zero",
"B": "$\\pi$",
"C": "$\\frac{\\pi}{2}$",
"D": "$\\frac{\\pi}{4}$"
}
| null | false | null | null | null | null |
378 |
8
|
standard
|
The radius ($r_n$) of $n^{th}$ orbit in Bohr model of hydrogen atom varies with n as
| 1 |
[
"Bohr model of hydrogen atom",
"Atomic spectra"
] |
Atoms
| null | null |
{
"A": "$r_n \\propto n$",
"B": "$r_n \\propto \\frac{1}{n}$",
"C": "$r_n \\propto n^2$",
"D": "$r_n \\propto \\frac{1}{n^2}$"
}
| null | false | null | null | null | null |
379 |
9
|
standard
|
An ac source V = 282 sin (100 t) volt is connected across a 1 $\mu$F capacitor. The rms value of current in the circuit will be (take $\sqrt{2}$ = 1.41)
| 1 |
[
"AC circuits",
"Capacitive reactance",
"RMS value of current"
] |
Alternating Current
| null | null |
{
"A": "10 mA",
"B": "20 mA",
"C": "40 mA",
"D": "80 mA"
}
| null | false | null | null | null | null |
380 |
10
|
standard
|
A galvanometer of resistance 100 $\Omega$ is converted into an ammeter of range (0 – 1 A) using a resistance of 0.1 $\Omega$. The ammeter will show full scale deflection for a current of about
| 1 |
[
"Moving coil galvanometer",
"Conversion of galvanometer to ammeter"
] |
Moving Charges and Magnetism
| null | null |
{
"A": "0.1 mA",
"B": "1 mA",
"C": "10 mA",
"D": "0.1 A"
}
| null | false | null | null | null | null |
381 |
11
|
standard
|
In Balmer series of hydrogen atom, as the wavelength of spectral lines decreases, they appear
| 1 |
[
"Hydrogen spectrum",
"Balmer series"
] |
Atoms
| null | null |
{
"A": "equally spaced and equally intense.",
"B": "further apart and stronger in intensity.",
"C": "closer together and stronger in intensity.",
"D": "closer together and weaker in intensity."
}
| null | false | null | null | null | null |
382 |
12
|
standard
|
A coil of N turns is placed in a magnetic field $\vec{B}$ such that $\vec{B}$ is perpendicular to the plane of the coil. B changes with time as $B = B_0 \cos\left(\frac{2\pi t}{T}\right)$ where T is time period. The magnitude of emf induced in the coil will be maximum at
| 1 |
[
"Faraday's laws",
"induced EMF"
] |
Electromagnetic Induction
|
[
"img\\img_104.jpeg"
] | null |
{
"A": "t = $\\frac{nT}{8}$",
"B": "t = $\\frac{nT}{4}$",
"C": "t = $\\frac{nT}{2}$",
"D": "t = nT"
}
| null | false | null | null | null | null |
383 |
13
|
assertion_reason
| null | 1 |
[
"Interference",
"Diffraction",
"Conservation of Energy"
] |
Wave Optics
| null | null |
{
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
}
| null | null |
In interference and diffraction of light, light energy reduces in one region producing a dark fringe. It increases in another region and produces a bright fringe.
|
This happens because energy is not conserved in the phenomena of interference and diffraction.
| null | null |
384 |
14
|
assertion_reason
| null | 1 |
[
"Drift velocity",
"Electric current"
] |
Current Electricity
| null | null |
{
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
}
| null | null |
When electrons drift in a conductor, it does not mean that all free electrons in the conductor are moving in the same direction.
|
The drift velocity is superposed over large random velocities of electrons.
| null | null |
385 |
15
|
assertion_reason
| null | 1 |
[
"Photoelectric effect",
"Work function"
] |
Dual Nature of Radiation and Matter
| null | null |
{
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
}
| null | null |
Electrons are ejected from the surface of zinc when it is irradiated by yellow light.
|
Energy associated with a photon of yellow light is more than the work function of zinc.
| null | null |
386 |
16
|
assertion_reason
| null | 1 |
[
"Temperature dependence of resistance",
"Semiconductors"
] |
Current Electricity
| null | null |
{
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
}
| null | null |
The temperature coefficient of resistance is positive for metals and negative for p-type semiconductors.
|
The charge carriers in metals are negatively charged, whereas the majority charge carriers in p-type semiconductors are positively charged.
| null | null |
387 |
17
|
standard
|
(a) An air bubble is trapped at point B (CB = 20 cm) in a glass sphere of radius 40 cm and refractive index 1.5 as shown in figure. Find the nature and position of the image of the bubble as seen by an observer at point P.
| 2 |
[
"Refraction at spherical surfaces"
] |
Ray Optics and Optical Instruments
|
[
"img\\img_94.jpeg"
] |
[
{
"part": "a",
"text": "An air bubble is trapped at point B (CB = 20 cm) in a glass sphere of radius 40 cm and refractive index 1.5 as shown in figure. Find the nature and position of the image of the bubble as seen by an observer at point P."
}
] | null |
{
"figure_paths": [],
"marks": 2,
"options": null,
"or_question": null,
"question_number": "17",
"question_text": "(b) In normal adjustment, for a refracting telescope, the distance between objective and eye piece lens is 1.00 m. If the magnifying power of the telescope is 19, find the focal length of the objective and the eyepiece lens.",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Refracting telescope",
"Magnifying power"
],
"sub_parts": [
{
"part": "b",
"text": "In normal adjustment, for a refracting telescope, the distance between objective and eye piece lens is 1.00 m. If the magnifying power of the telescope is 19, find the focal length of the objective and the eyepiece lens."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
388 |
18
|
standard
|
What are matter waves ? A proton, an electron and an α-particle have the same kinetic energy. Write the de Broglie wavelengths associated with them in increasing order.
| 2 |
[
"Matter waves",
"de Broglie wavelength"
] |
Dual Nature of Radiation and Matter
|
[] | null | null | null | false | null | null | null | null |
389 |
19
|
standard
|
A ray of light is incident normally on one face of an equilateral glass prism of refractive index μ. When the prism is completely immersed in a transparent medium, it is observed that the emergent ray just grazes the adjacent face. Find the refractive index of the medium.
| 2 |
[
"Refraction through a prism",
"Total internal reflection"
] |
Ray Optics and Optical Instruments
|
[] | null | null | null | false | null | null | null | null |
390 |
20
|
standard
|
Two wires A and B of different metals have their lengths in ratio 1 : 2 and their radii in ratio 2 : 1 respectively. I-V graphs for them is shown in the figure. Find the ratio of their
| 2 |
[
"Ohm's law",
"Resistance",
"Resistivity"
] |
Current Electricity
|
[
"img\\img_95.png"
] |
[
{
"part": "(i)",
"text": "Resistances (RA/RB)"
},
{
"part": "(ii)",
"text": "Resistivities ($\\sigma_A / \\sigma_B$)"
}
] | null | null | false | null | null | null | null |
391 |
21
|
standard
|
Draw the circuit diagram of a p-n junction diode in (i) forward biasing and (ii) reverse biasing. Also draw its I-V characteristics in the two cases.
| 2 |
[
"p-n junction diode",
"Forward biasing",
"Reverse biasing",
"I-V characteristics"
] |
Semiconductor Electronics: Materials, Devices and Simple Circuits
|
[] | null | null | null | false | null | null | null | null |
392 |
27
|
standard
|
Find the currents flowing through the branches AB and BC in the network shown.
| 3 |
[
"Kirchhoff's rules",
"Electric current",
"Ohm's law"
] |
Current Electricity
|
[
"img/img_104.jpeg",
"img/img_99.jpeg"
] | null | null | null | null | null | null | null | null |
393 |
28
|
standard
|
(a) (i) Define mutual inductance. Write its SI unit.
(ii) Derive an expression for the mutual inductance of a system of two long coaxial solenoids of same length l, having turns N₁ and N₂ and of radii r₁ and r₂ (> r₁).
| 3 |
[
"Mutual induction",
"Magnetic field due to a solenoid",
"Faraday's laws"
] |
Electromagnetic Induction
| null |
[
{
"part": "(a) (i)",
"text": "Define mutual inductance. Write its SI unit."
},
{
"part": "(a) (ii)",
"text": "Derive an expression for the mutual inductance of a system of two long coaxial solenoids of same length l, having turns N₁ and N₂ and of radii r₁ and r₂ (> r₁)."
}
] | null |
{
"figure_paths": null,
"marks": 3,
"options": null,
"or_question": null,
"question_number": null,
"question_text": "(b) What are ferromagnetic materials ? Explain ferromagnetism with the help of suitable diagrams, using the concept of magnetic domain.",
"question_type": "standard",
"related_chapter": "Magnetism and Matter",
"related_topics": [
"Ferromagnetic substances",
"Magnetic domains",
"Magnetization"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
}
| null | null | null | null | null |
394 |
29
|
case_study
| null | 4 |
[
"Lenses",
"Lens maker’s formula",
"Power of a lens",
"Combination of lenses"
] |
Ray Optics and Optical Instruments
| null | null | null | null | null | null | null |
A lens is a transparent optical medium bounded by two surfaces; at least one of which should be spherical. Applying the formula of image formation by a single spherical surface successively at the two surfaces of a thin lens, a formula known as lens maker's formula and hence the basic lens formula can be obtained. The focal length (or power) of a lens depends on the radii of its surfaces and the refractive index of its material with respect to the surrounding medium. The refractive index of a material depends on the wavelength of light used. Combination of lenses helps us to obtain diverging or converging lenses of desired power and magnification.
|
[
{
"number": "(i)",
"options": {
"A": "${-\\frac{5}{6}}$ D",
"B": "${-\\frac{5}{3}}$ D",
"C": "${-\\frac{4}{3}}$ D",
"D": "${-\\frac{3}{2}}$ D"
},
"text": "A thin converging lens of focal length 20 cm and a thin diverging lens of focal length 15 cm are placed coaxially in contact. The power of the combination is"
}
] |
395 |
(ii)
|
standard
|
The radii of curvature of two surfaces of a convex lens are R and 2R. If the focal length of this lens is $\left(\frac{4}{3}\right)$R, the refractive index of the material of the lens is :
| 1 |
[
"Refraction at spherical surfaces",
"Lenses",
"Lens maker’s formula"
] |
Ray Optics and Optical Instruments
|
[
"img\\img 104.jpeg"
] | null |
{
"A": "$\\frac{5}{3}$",
"B": "$\\frac{4}{3}$",
"C": "$\\frac{3}{2}$",
"D": "$\\frac{7}{5}$"
}
| null | null | null | null | null | null |
396 |
(iii)
|
standard
|
The focal length of an equiconvex lens
| 1 |
[
"Lenses",
"Lens maker’s formula",
"Refraction"
] |
Ray Optics and Optical Instruments
| null | null |
{
"A": "increases when the lens is dipped in water.",
"B": "increases when the wavelength of incident light decreases.",
"C": "increases with decrease in radius of curvature of its surface.",
"D": "decreases when the lens is cut into two identical parts along its principal axis."
}
| null | null | null | null | null | null |
397 |
(iv) (a)
|
standard
|
A thin convex lens L of focal length 10 cm and a concave mirror M of focal length 15 cm are placed coaxially 40 cm apart as shown in figure. A beam of light coming parallel to the principal axis is incident on the lens. The final image will be formed at a distance of
| 1 |
[
"Combination of thin lenses in contact",
"Reflection of light",
"Spherical mirrors",
"Mirror formula"
] |
Ray Optics and Optical Instruments
|
[
"img\\img_101.jpeg"
] | null |
{
"A": "10 cm, left of lens",
"B": "10 cm, right of lens",
"C": "20 cm, left of lens",
"D": "20 cm, right of lens"
}
|
{
"figure_paths": null,
"marks": 1,
"options": {
"A": "real, 24 cm",
"B": "virtual, 12 cm",
"C": "real, 32 cm",
"D": "virtual, 18 cm"
},
"or_question": null,
"question_number": "(iv) (b)",
"question_text": "A beam of light coming parallel to the principal axis of a convex lens L₁ of focal length 16 cm is incident on it. Another convex lens L₂ of focal length 12 cm is placed coaxially at a distance 40 cm from L₁. The nature and distance of the final image from L₂ will be",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Combination of thin lenses in contact",
"Thin lens formula"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
}
| null | null | null | null | null |
398 |
32(b)
|
standard
|
Using Gauss's law, show that the electric field $\vec{E}$ at a point due to a uniformly charged infinite plane sheet is given by $\vec{E} = \frac{\sigma}{2\epsilon_0} \hat{n}$ where symbols have their usual meanings.
| 5 |
[
"Gauss's law",
"Electric field",
"Uniformly charged infinite plane sheet"
] |
Electric Charges and Fields
|
[
"img\\img_104.jpeg"
] |
[
{
"part": "(i)",
"text": "Using Gauss's law, show that the electric field $\\vec{E}$ at a point due to a uniformly charged infinite plane sheet is given by $\\vec{E} = \\frac{\\sigma}{2\\epsilon_0} \\hat{n}$ where symbols have their usual meanings."
},
{
"part": "(ii)",
"text": "Electric field $\\vec{E}$ in a region is given by $\\vec{E} = (5x^2 + 2) \\hat{i}$ where E is in N/C and x is in meters. A cube of side 10 cm is placed in the region as shown in figure. Calculate (1) the electric flux through the cube, and (2) the net charge enclosed by the cube."
}
] | null | null | false | null | null | null | null |
399 |
33(a)
|
standard
|
Draw a ray diagram for the formation of the image of an object by a convex mirror. Hence, obtain the mirror equation.
| 5 |
[
"Ray diagram",
"Convex mirror",
"Mirror equation"
] |
Ray Optics and Optical Instruments
|
[] |
[
{
"part": "(i)",
"text": "Draw a ray diagram for the formation of the image of an object by a convex mirror. Hence, obtain the mirror equation."
},
{
"part": "(ii)",
"text": "Why are multi-component lenses used for both the objective and the eyepiece in optical instruments ?"
},
{
"part": "(iii)",
"text": "The magnification of a small object produced by a compound microscope is 200. The focal length of the eyepiece is 2 cm and the final image is formed at infinity. Find the magnification produced by the objective."
}
] | null |
{
"figure_paths": [],
"marks": 5,
"options": null,
"or_question": null,
"question_number": "33(b)",
"question_text": "Differentiate between a wavefront and a ray.",
"question_type": "standard",
"related_chapter": "Wave Optics",
"related_topics": [
"Wavefront",
"Ray",
"Huygen's principle",
"Reflection",
"Young's double slit experiment",
"Fringe width",
"Wavelength"
],
"sub_parts": [
{
"part": "(i)",
"text": "Differentiate between a wavefront and a ray."
},
{
"part": "(ii)",
"text": "State Huygen's principle and verify laws of reflection using suitable diagram."
},
{
"part": "(iii)",
"text": "In Young's double slit experiment, the slits $S_1$ and $S_2$ are 3 mm apart and the screen is placed 1.0 m away from the slits. It is observed that the fourth bright fringe is at a distance of 5 mm from the second dark fringe. Find the wavelength of light used."
}
],
"text": null,
"vi_candidate": false
}
| false | null | null | null | null |
400 |
1
|
standard
|
An electric dipole of dipole moment $\vec{p}$ is kept in a uniform electric field $\vec{E}$. The amount of work done to rotate it from the position of stable equilibrium to that of unstable equilibrium will be
| 1 |
[
"Electric dipole",
"Work done in rotating a dipole in an electric field"
] |
Electrostatic Potential and Capacitance
| null | null |
{
"A": "2 pE",
"B": "-2 pE",
"C": "pE",
"D": "zero"
}
| null | false | null | null | null | null |
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