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
sequencelengths 0
8
⌀ | related_chapter
stringclasses 30
values | figure_paths
sequencelengths 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
⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
501 | 23. (a) | standard | 0 | [
"Electromagnetic Induction",
"Lenz's Law",
"Faraday's laws",
"Motional EMF",
"Magnetic field"
] | Electromagnetic Induction | null | [
{
"part": "(i)",
"text": "State Lenz's Law. In a closed circuit, the induced current opposes the change in magnetic flux that produced it as per the law of conservation of energy. Justify."
},
{
"part": "(ii)",
"text": "A metal rod of length 2 m is rotated with a frequency 60 rev/s about an axis passing through its centre and perpendicular to its length. A uniform magnetic field of 2T perpendicular to its plane of rotation is switched-on in the region. Calculate the e.m.f. induced between the centre and the end of the rod."
}
] | null | {
"figure_paths": null,
"marks": 0,
"options": null,
"or_question": null,
"question_number": "23. (b)",
"question_text": "",
"question_type": "standard",
"related_chapter": "Moving Charges and Magnetism",
"related_topics": [
"Ampere's law",
"Magnetic field due to current carrying wire",
"Superposition of magnetic fields"
],
"sub_parts": [
{
"part": "(i)",
"text": "State and explain Ampere’s circuital law."
},
{
"part": "(ii)",
"text": "Two long straight parallel wires separated by 20 cm, carry 5 A and 10 A current respectively, in the same direction. Find the magnitude and direction of the net magnetic field at a point midway between them."
}
],
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
|
502 | 24 | standard | Define temperature coefficient of resistance' of a metal. | 0 | [
"Temperature dependence of resistance",
"Electrical resistivity"
] | Current Electricity | null | null | null | null | null | null | null | null | null |
503 | 24 | standard | Show the variation of resistivity of copper with rise in temperature. | 0 | [
"Temperature dependence of resistance",
"Electrical resistivity"
] | Current Electricity | null | null | null | null | null | null | null | null | null |
504 | 24 | standard | The resistance of a wire is $10 \Omega$ at $27 ^\circ C$. Find its resistance at $-73 ^\circ C$. The temperature coefficient of resistance of the material of the wire is $1.70 \times 10^{-4} {^\circ C}^{-1}$. | 0 | [
"Temperature dependence of resistance"
] | Current Electricity | null | null | null | null | null | null | null | null | null |
505 | 25 | standard | Name the part of the electromagnetic spectrum which are | 0 | [
"Electromagnetic spectrum"
] | Electromagnetic Waves | null | [
{
"part": "(i)",
"text": "stopped by face mask worn by welders."
},
{
"part": "(ii)",
"text": "used in detectors in Earth satellites."
},
{
"part": "(iii)",
"text": "used in 'short-wave band' in communication."
}
] | null | null | null | null | null | null | null |
506 | 25 | standard | Also write the order of wavelengths, in each case. | 0 | [
"Electromagnetic spectrum",
"Wavelength"
] | Electromagnetic Waves | null | null | null | null | null | null | null | null | null |
507 | 26 | standard | null | 0 | [
"p-n junction diode",
"Rectifier",
"Forward bias",
"Reverse bias"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | [
{
"part": "(a)",
"text": "Explain the characteristics of a p-n junction diode that makes it suitable for its use as a rectifier."
},
{
"part": "(b)",
"text": "With the help of a circuit diagram, explain the working of a full wave rectifier."
}
] | null | null | null | null | null | null | null |
508 | 27 | standard | Explain the following, giving reasons : | 0 | [
"Semiconductors",
"p-n junction",
"Diodes"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | [
{
"part": "(a)",
"text": "A doped semiconductor is electrically neutral."
},
{
"part": "(b)",
"text": "In a p-n junction under equilibrium, there is no net current."
},
{
"part": "(c)",
"text": "In a diode, the reverse current is practically not dependent on the applied voltage."
}
] | null | null | null | null | null | null | null |
509 | 28 | standard | An electron moving with a velocity $\vec{v} = (1.0 \times 10^7 \text{ m/s})\hat{i} + (0.5 \times 10^7 \text{ m/s})\hat{j}$ enters a region of uniform magnetic field $\vec{B} = (0.5 \text{ mT})\hat{k}$. Find the radius of the circular path described by it. While rotating; does the electron trace a linear path too? If so, calculate the linear distance covered by it during the period of one revolution. | 0 | [
"Force on a moving charge in magnetic field",
"Motion in a magnetic field",
"Radius of circular path",
"Period of revolution"
] | Moving Charges and Magnetism | null | null | null | null | null | null | null | null | null |
510 | 29 | standard | A prism is an optical medium bounded by three refracting plane surfaces. A ray of light suffers successive refractions on passing through its two surfaces and deviates by a certain angle from its original path. The refractive index of the material of the prism is given by
$\mu = \sin\left(\frac{A + \delta m}{2}\right) / \sin\left(\frac{A}{2}\right)$. If the angle of incidence on the second surface is greater than an angle called critical angle, the ray will not be refracted from the second surface and is totally internally reflected. | 0 | [
"Refraction of light",
"Total internal reflection",
"Critical angle",
"Prism",
"Refractive index",
"Dispersion of light"
] | Ray Optics and Optical Instruments | [
"img\\img_1ECTION - D"
] | [
{
"part": "(i)",
"text": "The critical angle for glass is $\\theta_1$ and that for water is $\\theta_2$. The critical angle for glass-water surface would be (given $_a\\mu_g = 1.5$, $_a\\mu_w = 1.33$)"
},
{
"part": "(ii)",
"text": "When a ray of light of wavelength $\\lambda$ and frequency $\\nu$ is refracted into a denser medium"
},
{
"part": "(iii) (a)",
"text": "The critical angle for a ray of light passing from glass to water is minimum for"
}
] | null | {
"figure_paths": [],
"marks": 0,
"options": {
"A": "$r_V < r_Y < r_R$",
"B": "$r_Y < r_R < r_V$",
"C": "$r_R < r_Y < r_V$",
"D": "$r_R = r_Y = r_V$"
},
"or_question": null,
"question_number": null,
"question_text": "Three beams of red, yellow and violet colours are passed through a prism, one by one under the same condition. When the prism is in the position of minimum deviation, the angles of refraction from the second surface are $r_R$, $r_Y$ and $r_V$ respectively.",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Dispersion of light",
"Refraction through a prism",
"Minimum deviation"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
511 | 29(i) | standard | The critical angle for glass is $\theta_1$ and that for water is $\theta_2$. The critical angle for glass-water surface would be (given $_a\mu_g = 1.5$, $_a\mu_w = 1.33$) | 0 | [
"Critical angle",
"Refractive index",
"Total internal reflection"
] | Ray Optics and Optical Instruments | [] | null | {
"A": "less than $\\theta_2$",
"B": "between $\\theta_1$ and $\\theta_2$",
"C": "greater than $\\theta_2$",
"D": "less than $\\theta_1$"
} | null | false | null | null | null | null |
512 | 29(ii) | standard | When a ray of light of wavelength $\lambda$ and frequency $\nu$ is refracted into a denser medium | 0 | [
"Refraction of light",
"Wavelength",
"Frequency"
] | Ray Optics and Optical Instruments | [] | null | {
"A": "$\\lambda$ and $\\nu$ both increase.",
"B": "$\\lambda$ increases but $\\nu$ is unchanged.",
"C": "$\\lambda$ decreases but $\\nu$ is unchanged.",
"D": "$\\lambda$ and $\\nu$ both decrease."
} | null | false | null | null | null | null |
513 | 29(iii)(a) | standard | The critical angle for a ray of light passing from glass to water is minimum for | 0 | [
"Critical angle",
"Refractive index",
"Wavelength",
"Dispersion of light"
] | Ray Optics and Optical Instruments | [] | null | {
"A": "red colour",
"B": "blue colour",
"C": "yellow colour",
"D": "violet colour"
} | null | false | null | null | null | null |
514 | (iv) | standard | A ray of light is incident normally on a prism ABC of refractive index $\sqrt{2}$, as shown in figure. After it strikes face AC, it will | 1 | [
"Refraction of light",
"Total internal reflection",
"Prism"
] | Ray Optics and Optical Instruments | [
"img\\img_147.jpeg",
"img\\img_945.png"
] | null | {
"A": "go straight undeviated",
"B": "just graze along the face AC",
"C": "refract and go out of the prism",
"D": "undergo total internal reflection"
} | null | false | null | null | null | null |
515 | 30 | case_study | null | 1 | [
"Dielectrics",
"Capacitance",
"Electric field",
"Polar and non-polar molecules",
"Capacitors in series and parallel"
] | Electrostatic Potential and Capacitance | null | null | null | null | null | null | null | Dielectrics play an important role in design of capacitors. The molecules of a dielectric may be polar or non-polar. When a dielectric slab is placed in an external electric field, opposite charges appear on the two surfaces of the slab perpendicular to electric field. Due to this an electric field is established inside the dielectric.
The capacitance of a capacitor is determined by the dielectric constant of the material that fills the space between the plates. Consequently, the energy storage capacity of a capacitor is also affected. Like resistors, capacitors can also be arranged in series and/or parallel. | [
{
"number": "(i)",
"options": {
"A": "O$_2$",
"B": "H$_2$",
"C": "N$_2$",
"D": "HCl"
},
"text": "Which of the following is a polar molecule ?"
},
{
"number": "(ii)",
"options": {
"A": "A polar dielectric has a net dipole moment in absence of an external electric field which gets modified due to the induced dipoles.",
"B": "The net dipole moments of induced dipoles is along the direction of the applied electric field.",
"C": "Dielectrics contain free charges.",
"D": "The electric field produced due to induced surface charges inside a dielectric is along the external electric field."
},
"text": "Which of the following statements about dielectrics is correct ?"
}
] |
516 | (iii) | standard | When a dielectric slab is inserted between the plates of an isolated charged capacitor, the energy stored in it : | 1 | [
"Capacitors and Capacitance",
"Energy stored in a capacitor",
"Dielectrics and electric polarization"
] | Electrostatic Potential and Capacitance | null | null | {
"A": "increases and the electric field inside it also increases.",
"B": "decreases and the electric field also decreases.",
"C": "decreases and the electric field increases.",
"D": "increases and the electric field decreases."
} | null | false | null | null | null | null |
517 | (iv) (a) | standard | An air-filled capacitor with plate area A and plate separation d has capacitance $C_0$. A slab of dielectric constant K, area A and thickness $\left(\frac{d}{5}\right)$ is inserted between the plates. The capacitance of the capacitor will become | 1 | [
"Capacitors and Capacitance",
"Capacitance of a parallel plate capacitor with dielectric"
] | Electrostatic Potential and Capacitance | null | null | {
"A": "$\\left[\\frac{4K}{5K + 1}\\right] C_0$",
"B": "$\\left[\\frac{K + 5}{4}\\right] C_0$",
"C": "$\\left[\\frac{5K}{4K + 1}\\right] C_0$",
"D": "$\\left[\\frac{K + 4}{5K}\\right] C_0$"
} | null | false | null | null | null | null |
518 | (iv) (b) | standard | Two capacitors of capacitances $2 C_0$ and $6 C_0$ are first connected in series and then in parallel across the same battery. The ratio of energies stored in series combination to that in parallel is | 1 | [
"Combination of capacitors",
"Energy stored in a capacitor"
] | Electrostatic Potential and Capacitance | null | null | {
"A": "$\\frac{1}{4}$",
"B": "$\\frac{1}{6}$",
"C": "$\\frac{2}{15}$",
"D": "$\\frac{3}{16}$"
} | null | false | null | null | null | null |
519 | 31. (a) (i) | standard | A plane light wave propagating from a rarer into a denser medium, is incident at an angle i on the surface separating two media. Using Huygen's principle, draw the refracted wave and hence verify Snell's law of refraction. | 3 | [
"Huygen’s principle",
"Refraction of light",
"Snell's law"
] | Wave Optics | [] | null | null | null | false | null | null | null | null |
520 | 31. (a) (ii) | standard | In a Young's double slit experiment, the slits are separated by 0.30 mm and the screen is kept 1.5 m away. The wavelength of light used is 600 nm. Calculate the distance between the central bright fringe and the $4^{th}$ dark fringe. | 2 | [
"Young's double slit experiment",
"Interference"
] | Wave Optics | [] | null | null | null | false | null | null | null | null |
521 | 31. (b) (i) | standard | Discuss briefly diffraction of light from a single slit and draw the shape of the diffraction pattern. | 3 | [
"Diffraction due to a single slit"
] | Wave Optics | [] | null | null | {
"figure_paths": [],
"marks": 3,
"options": null,
"or_question": null,
"question_number": null,
"question_text": "An object is placed between the pole and the focus of a concave mirror. Using mirror formula, prove mathematically that it produces a virtual and an enlarged image.",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Spherical mirrors",
"Mirror formula",
"Magnification"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
522 | 1 | standard | A heater coil rated as (P, V) is cut into two equal parts. One of the parts is then connected to a battery of V volt. The power consumed by it will be | 1 | [
"Electrical power",
"Resistance",
"Ohm's law"
] | Current Electricity | null | null | {
"A": "P",
"B": "$\\frac{P}{2}$",
"C": "$\\frac{P}{4}$",
"D": "2P"
} | null | null | null | null | null | null |
523 | 2 | standard | Two insulated concentric coils, each of radius R, placed at right angles to each other, carry currents I and $\sqrt{3}$ I respectively. The magnitude of the net magnetic field at their common centre will be | 1 | [
"Magnetic field due to a current carrying loop",
"Superposition of magnetic fields"
] | Moving Charges and Magnetism | null | null | {
"A": "$\\frac{\\mu_o I}{R}$",
"B": "$\\frac{\\mu_o I}{2R}$",
"C": "$\\frac{\\mu_o I}{4R}$",
"D": "$\\frac{2\\mu_o I}{R}$"
} | null | null | null | null | null | null |
524 | 3 | standard | Which of the following material has its magnetic susceptibility $x$ in the range $0 < x < \varepsilon$, where $\varepsilon$ is positive and small ? | 1 | [
"Magnetic susceptibility",
"Magnetic properties of materials",
"Paramagnetism",
"Diamagnetism",
"Ferromagnetism"
] | Magnetism and Matter | null | null | {
"A": "Aluminium",
"B": "Water",
"C": "Gadolinium",
"D": "Bismuth"
} | null | null | null | null | null | null |
525 | 4 | standard | A galvanometer of resistance 100 $\Omega$ gives full scale deflection for a current of 1.0 mA. It is converted into an ammeter of range (0 – 1A). The resistance of the ammeter will be close to | 1 | [
"Moving coil galvanometer",
"Conversion of galvanometer to ammeter",
"Shunt resistance"
] | Moving Charges and Magnetism | null | null | {
"A": "0.1 $\\Omega$",
"B": "0.8 $\\Omega$",
"C": "1.0 $\\Omega$",
"D": "10 $\\Omega$"
} | null | null | null | null | null | null |
526 | 5 | standard | The mutual inductance of two coils, in a given orientation is 50 mH. If the current in one of the coils changes as i = 1.0 sin $\left(100 \pi t + \frac{\pi}{3}\right)$ A, the peak value of emf (in volt) induced in the other coil will be | 1 | [
"Mutual inductance",
"Induced EMF",
"Faraday's laws of electromagnetic induction"
] | Electromagnetic Induction | null | null | {
"A": "$\\frac{\\pi}{5}$",
"B": "$5\\pi$",
"C": "$0.5\\pi$",
"D": "$0.05\\pi$"
} | null | null | null | null | null | null |
527 | 6 | standard | The potential energy between two nucleons inside a nucleus is minimum at a distance of about | 1 | [
"Nuclear Forces",
"Nuclear Size"
] | Nuclei | [
"img\\img_160.jpeg"
] | null | {
"A": "0.8 fm",
"B": "1.6 fm",
"C": "2.0 fm",
"D": "2.8 fm"
} | null | false | null | null | null | null |
528 | 7 | standard | A pure Si crystal having $5 \times 10^{28}$ atoms m$^{-3}$ is dopped with 1 ppm concentration of antimony. If the concentration of holes in the doped crystal is found to be $4.5 \times 10^9$ m$^{-3}$, the concentration (in m$^{-3}$) of intrinsic charge carriers in Si crystal is about | 1 | [
"Semiconductors",
"Doping",
"Intrinsic Semiconductors"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | null | {
"A": "$1.2 \\times 10^{15}$",
"B": "$1.5 \\times 10^{16}$",
"C": "$3.0 \\times 10^{15}$",
"D": "$2.0 \\times 10^{16}$"
} | null | false | null | null | null | null |
529 | 8 | standard | The energy of an electron in the ground state of hydrogen atom is -13.6 eV. The kinetic and potential energy of the electron in the first excited state will be | 1 | [
"Bohr Model",
"Energy Levels",
"Hydrogen Spectrum"
] | Atoms | null | null | {
"A": "-13.6 eV, 27.2 eV",
"B": "-6.8 eV, 13.6 eV",
"C": "3.4 eV, –6.8 eV",
"D": "6.8 eV, -3.4 eV"
} | null | false | null | null | null | null |
530 | 9 | standard | The electromagnetic waves used to purify water are | 1 | [
"Electromagnetic Waves",
"Electromagnetic Spectrum",
"Applications of EM Waves"
] | Electromagnetic Waves | null | null | {
"A": "Infrared rays",
"B": "Ultraviolet rays",
"C": "X-rays",
"D": "Gamma rays"
} | null | false | null | null | null | null |
531 | 10 | standard | The variation of the stopping potential ($V_0$) with the frequency ($\nu$) of the incident radiation for four metals A, B, C and D is shown in the figure. For the same frequency of incident radiation producing photo-electrons in all metals, the kinetic energy of photo-electrons will be maximum for metal | 1 | [
"Photoelectric Effect",
"Stopping Potential",
"Work Function"
] | Dual Nature of Radiation and Matter | [
"img\\img_150.png"
] | null | {
"A": "A",
"B": "B",
"C": "C",
"D": "D"
} | null | false | null | null | null | null |
532 | 11. | standard | The focal lengths of the objective and the eyepiece of a compound microscope are 1 cm and 2 cm respectively. If the tube length of the microscope is 10 cm, the magnification obtained by the microscope for most suitable viewing by relaxed eye is : | 1 | [
"Compound Microscope",
"Magnification"
] | Ray Optics and Optical Instruments | null | null | {
"A": "250",
"B": "200",
"C": "150",
"D": "125"
} | null | false | null | null | null | null |
533 | 12. | standard | A point object is kept 60 cm in front of a spherical convex surface (n = 1.5, radius of curvature 40 cm). The image formed is | 1 | [
"Refraction at Spherical Surfaces",
"Image Formation"
] | Ray Optics and Optical Instruments | null | null | {
"A": "real, at a distance 1.8 m from the surface.",
"B": "virtual, at a distance 1.8 m from the surface.",
"C": "real, at a distance 3.6 m from the surface.",
"D": "virtual, at a distance 3.6 m from the surface."
} | null | false | null | null | null | null |
534 | 13. | assertion_reason | null | 1 | [
"Young's Double Slit Experiment",
"Interference",
"Fringe Width"
] | Wave Optics | null | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true and 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 | In a Young's double-slit experiment, interference pattern is not observed when two coherent sources are infinitely close to each other. | The fringe width is proportional to the separation between the two sources. | null | null |
535 | 14. | assertion_reason | null | 1 | [
"Alpha-particle scattering experiment",
"Impact Parameter",
"Scattering Angle"
] | Atoms | null | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true and 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 | An alpha particle is moving towards a gold nucleus. The impact parameter is maximum for the scattering angle of 180°. | The impact parameter in an alpha particle scattering experiment does not depend upon the atomic number of the target nucleus. | null | null |
536 | 15 | assertion_reason | null | null | [
"Electric Charges",
"Electric Field",
"Electric Potential"
] | Electric Charges and Fields | [
"img\\img_160.jpeg",
"img\\img_153.jpeg"
] | 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 | Equal amount of positive and negative charges are distributed uniformly on two halves of a thin circular ring as shown in figure. The resultant electric field at the centre O of the ring is along OC. | It is so because the net potential at O is not zero. | null | null |
537 | 16 | assertion_reason | null | null | [
"Magnetic Force",
"Motion in Magnetic Field",
"Work Done by a Force"
] | 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 | The energy of a charged particle moving in a magnetic field does not change. | It is because the work done by the magnetic force on the charge moving in a magnetic field is zero. | null | null |
538 | 17 | standard | Derive an expression for magnetic force $\vec{F}$ acting on a straight conductor of length L carrying current I in an external magnetic field $\vec{B}$. Is it valid when the conductor is in zig-zag form ? Justify. | null | [
"Magnetic Force on a Current-Carrying Conductor",
"Biot-Savart Law",
"Ampere's Law"
] | Moving Charges and Magnetism | null | [
{
"part": "1",
"text": "Derive an expression for magnetic force $\\vec{F}$ acting on a straight conductor of length L carrying current I in an external magnetic field $\\vec{B}$."
},
{
"part": "2",
"text": "Is it valid when the conductor is in zig-zag form ? Justify."
}
] | null | null | null | null | null | null | null |
539 | 18 | standard | Four point charges of 1 $\mu$C, −2 $\mu$C, 1 $\mu$C and −2 $\mu$C are placed at the corners A, B, C and D respectively, of a square of side 30 cm. Find the net force acting on a charge of 4 $\mu$C placed at the centre of the square. | null | [
"Coulomb's Law",
"Superposition Principle",
"Electric Force"
] | Electric Charges and Fields | null | null | null | {
"figure_paths": null,
"marks": null,
"options": null,
"or_question": null,
"question_number": "18",
"question_text": "Three point charges, 1 pC each, are kept at the vertices of an equilateral triangle of side 10 cm. Find the net electric field at the centroid of triangle.",
"question_type": "standard",
"related_chapter": "Electric Charges and Fields",
"related_topics": [
"Electric Field due to a Point Charge",
"Superposition Principle",
"Electric Field"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
} | null | null | null | null | null |
540 | 19. | standard | A thin converging lens of focal length 10 cm is placed coaxially in contact with a thin diverging lens of focal length 15 cm. How will the combination behave ? Justify your answer. | null | [
"Combination of lenses",
"Lens formula"
] | Ray Optics and Optical Instruments | [
"img\\img 160.jpeg"
] | null | null | null | false | null | null | null | null |
541 | 20. | standard | Deuterium undergoes the following fusion reaction :
$_{1}^{2}H$ + $_{1}^{2}H$ $\longrightarrow$ $_{2}^{3}He$ + $_{0}^{1}n$ + 3.27 MeV
How long an electric bulb of 200 W will glow by using the energy released in 2 g of deuterium ? | null | [
"Nuclear fusion",
"Mass-energy relation"
] | Nuclei | null | null | null | null | false | null | null | null | null |
542 | 21. | standard | The electron in hydrogen atom is revolving with the speed of 2.2 × 10$^{6}$ m/s in an orbit of radius 0.53 Å. Calculate the initial frequency of light emitted by the electron using classical physics. | null | [
"Bohr model of hydrogen atom",
"Frequency of revolution"
] | Atoms | null | null | null | null | false | null | null | null | null |
543 | 22. (a) | standard | State Lenz's Law. In a closed circuit, the induced current opposes the change in magnetic flux that produced it as per the law of conservation of energy. Justify. | null | [
"Lenz's Law",
"Faraday's laws",
"Conservation of energy"
] | Electromagnetic Induction | null | [
{
"part": "(i)",
"text": "State Lenz's Law. In a closed circuit, the induced current opposes the change in magnetic flux that produced it as per the law of conservation of energy. Justify."
}
] | null | {
"figure_paths": null,
"marks": null,
"options": null,
"or_question": null,
"question_number": "22. (b)",
"question_text": "State and explain Ampere's circuital law.",
"question_type": "standard",
"related_chapter": "Moving Charges and Magnetism",
"related_topics": [
"Ampere's law"
],
"sub_parts": [
{
"part": "(i)",
"text": "State and explain Ampere's circuital law."
}
],
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
544 | 22. (a) | standard | A metal rod of length 2 m is rotated with a frequency 60 rev/s about an axis passing through its centre and perpendicular to its length. A uniform magnetic field of 2T perpendicular to its plane of rotation is switched-on in the region. Calculate the e.m.f. induced between the centre and the end of the rod. | null | [
"Motional EMF",
"Electromagnetic Induction"
] | Electromagnetic Induction | null | [
{
"part": "(ii)",
"text": "A metal rod of length 2 m is rotated with a frequency 60 rev/s about an axis passing through its centre and perpendicular to its length. A uniform magnetic field of 2T perpendicular to its plane of rotation is switched-on in the region. Calculate the e.m.f. induced between the centre and the end of the rod."
}
] | null | {
"figure_paths": null,
"marks": null,
"options": null,
"or_question": null,
"question_number": "22. (b)",
"question_text": "Two long straight parallel wires separated by 20 cm, carry 5 A and 10 A current respectively, in the same direction. Find the magnitude and direction of the net magnetic field at a point midway between them.",
"question_type": "standard",
"related_chapter": "Moving Charges and Magnetism",
"related_topics": [
"Magnetic field due to current carrying wire",
"Force between two parallel current-carrying conductors",
"Superposition principle"
],
"sub_parts": [
{
"part": "(ii)",
"text": "Two long straight parallel wires separated by 20 cm, carry 5 A and 10 A current respectively, in the same direction. Find the magnitude and direction of the net magnetic field at a point midway between them."
}
],
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
545 | 23. | standard | The threshold frequency for a metal is 3.0 × 10$^{14}$ Hz. A beam of frequency 9.0 × 10$^{14}$ Hz is incident on the metal. Calculate (i) the work function (in eV) of the metal and (ii) the maximum speed of photoelectrons. | null | [
"Photoelectric effect",
"Work function",
"Einstein's photoelectric equation"
] | Dual Nature of Radiation and Matter | null | [
{
"part": "(i)",
"text": "the work function (in eV) of the metal"
},
{
"part": "(ii)",
"text": "the maximum speed of photoelectrons."
}
] | null | null | false | null | null | null | null |
546 | 24. | standard | Name the parts of the electromagnetic spectrum which are (i) also known as 'heat waves' and (ii) absorbed by ozone layer in the atmosphere. | null | [
"Electromagnetic spectrum"
] | Electromagnetic Waves | null | [
{
"part": "(a)",
"text": "Name the parts of the electromagnetic spectrum which are (i) also known as 'heat waves' and (ii) absorbed by ozone layer in the atmosphere."
}
] | null | null | false | null | null | null | null |
547 | 24. | standard | Write briefly one method each, of the production and detection of these radiations. | null | [
"Electromagnetic spectrum",
"Production of electromagnetic waves",
"Detection of electromagnetic waves"
] | Electromagnetic Waves | null | [
{
"part": "(b)",
"text": "Write briefly one method each, of the production and detection of these radiations."
}
] | null | null | false | null | null | null | null |
548 | 25 | standard | (a) Explain the characteristics of a p-n junction diode that makes it suitable for its use as a rectifier.
(b) With the help of a circuit diagram, explain the working of a full wave rectifier. | null | [
"p-n junction diode",
"rectifier",
"full wave rectifier"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [] | [
{
"part": "(a)",
"text": "Explain the characteristics of a p-n junction diode that makes it suitable for its use as a rectifier."
},
{
"part": "(b)",
"text": "With the help of a circuit diagram, explain the working of a full wave rectifier."
}
] | null | null | false | null | null | null | null |
549 | 26 | standard | Explain the following, giving reasons :
(a) A doped semiconductor is electrically neutral.
(b) In a p-n junction under equilibrium, there is no net current.
(c) In a diode, the reverse current is practically not dependent on the applied voltage. | null | [
"doped semiconductor",
"p-n junction",
"diode",
"reverse current"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [] | [
{
"part": "(a)",
"text": "A doped semiconductor is electrically neutral."
},
{
"part": "(b)",
"text": "In a p-n junction under equilibrium, there is no net current."
},
{
"part": "(c)",
"text": "In a diode, the reverse current is practically not dependent on the applied voltage."
}
] | null | null | false | null | null | null | null |
550 | 27 | standard | An electron is moving with a velocity $\vec{v} = (3 \times 10^6 \frac{m}{s})\hat{i}$. It enters a region of magnetic field $\vec{B} = (91 \text{mT})\hat{k}$.
(a) Calculate the magnetic force $\vec{F}_B$ acting on electron and the radius of its path.
(b) Trace the path described by it. | null | [
"magnetic force on a moving charge",
"motion in a magnetic field"
] | Moving Charges and Magnetism | [] | [
{
"part": "(a)",
"text": "Calculate the magnetic force $\\vec{F}_B$ acting on electron and the radius of its path."
},
{
"part": "(b)",
"text": "Trace the path described by it."
}
] | null | null | false | null | null | null | null |
551 | 28 | standard | A potential difference of 1.0 V is applied across a conductor of length 5.0 m and area of cross-section 1.0 mm². When current of 4.25 A is passed through the conductor, calculate
(i) the drift speed and (ii) relaxation time, of electrons. (Given number density of electrons in the conductor, n = 8.5 × 10²⁸ m⁻³). | null | [
"drift velocity",
"relaxation time",
"current electricity"
] | Current Electricity | [] | [
{
"part": "(i)",
"text": "the drift speed"
},
{
"part": "(ii)",
"text": "relaxation time, of electrons. (Given number density of electrons in the conductor, n = 8.5 × 10²⁸ m⁻³)."
}
] | null | null | false | null | null | null | null |
552 | 29 | standard | A prism is an optical medium bounded by three refracting plane surfaces. A ray of light suffers successive refractions on passing through its two surfaces and deviates by a certain angle from its original path. The refractive index of the material of the prism is given by $\mu = \frac{\sin\left(\frac{A + \delta m}{2}\right)}{\sin\left(\frac{A}{2}\right)}$. If the angle of incidence on the second surface is greater than an angle called critical angle, the ray will not be refracted from the second surface and is totally internally reflected.
(i) The critical angle for glass is $\theta_1$ and that for water is $\theta_2$. The critical angle for glass-water surface would be (given $_a\mu_g = 1.5$, $_a\mu_w = 1.33$) | null | [
"refraction",
"total internal reflection",
"critical angle"
] | Ray Optics and Optical Instruments | [] | [
{
"part": "(i)",
"text": "The critical angle for glass is $\\theta_1$ and that for water is $\\theta_2$. The critical angle for glass-water surface would be (given $_a\\mu_g = 1.5$, $_a\\mu_w = 1.33$)"
}
] | {
"A": "less than $\\theta_2$",
"B": "between $\\theta_1$ and $\\theta_2$",
"C": "greater than $\\theta_2$",
"D": "less than $\\theta_1$"
} | null | false | null | null | null | null |
553 | (ii) | standard | When a ray of light of wavelength $\lambda$ and frequency $\nu$ is refracted into a denser medium | 1 | [
"Refraction",
"Wavelength",
"Frequency"
] | Ray Optics and Optical Instruments | null | null | {
"A": "$\\lambda$ and $\\nu$ both increase.",
"B": "$\\lambda$ increases but $\\nu$ is unchanged.",
"C": "$\\lambda$ decreases but $\\nu$ is unchanged.",
"D": "$\\lambda$ and $\\nu$ both decrease."
} | null | false | null | null | null | null |
554 | (iii) (a) | standard | The critical angle for a ray of light passing from glass to water is minimum for | 1 | [
"Total Internal Reflection",
"Critical Angle",
"Dispersion"
] | Ray Optics and Optical Instruments | null | null | {
"A": "red colour",
"B": "blue colour",
"C": "yellow colour",
"D": "violet colour"
} | {
"figure_paths": null,
"marks": 1,
"options": {
"A": "$r_V < r_Y < r_R$",
"B": "$r_Y < r_R < r_V$",
"C": "$r_R < r_Y < r_V$",
"D": "$r_R = r_Y = r_V$"
},
"or_question": null,
"question_number": "(iii) (b)",
"question_text": "Three beams of red, yellow and violet colours are passed through a prism, one by one under the same condition. When the prism is in the position of minimum deviation, the angles of refraction from the second surface are $r_R$, $r_Y$ and $r_V$ respectively. Then",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Refraction through a Prism",
"Minimum Deviation",
"Dispersion"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
555 | (iv) | standard | A ray of light is incident normally on a prism ABC of refractive index $\sqrt{2}$, as shown in figure. After it strikes face AC, it will | 1 | [
"Refraction",
"Total Internal Reflection",
"Prism"
] | Ray Optics and Optical Instruments | [
"img\\img_957.png"
] | null | {
"A": "go straight undeviated",
"B": "just graze along the face AC",
"C": "refract and go out of the prism",
"D": "undergo total internal reflection"
} | null | false | null | null | null | null |
556 | 30 | case_study | null | 0 | [
"Dielectrics",
"Capacitors",
"Polar and non-polar molecules",
"Electric field inside a dielectric",
"Capacitance",
"Energy storage in a capacitor",
"Combination of capacitors"
] | Electrostatic Potential and Capacitance | [
"img\\img, 160.jpeg"
] | null | null | {
"figure_paths": null,
"marks": null,
"options": {
"A": "\\(\\left[\\frac{4K}{5K + 1}\\right]C_0\\)",
"B": "\\(\\left[\\frac{K + 5}{4}\\right]C_0\\)",
"C": "\\(\\left[\\frac{5K}{4K + 1}\\right]C_0\\)",
"D": "\\(\\left[\\frac{K + 4}{5K}\\right]C_0\\)"
},
"or_question": null,
"question_number": null,
"question_text": null,
"question_type": null,
"related_chapter": null,
"related_topics": null,
"sub_parts": null,
"text": "An air-filled capacitor with plate area A and plate separation d has capacitance C₀. A slab of dielectric constant K, area A and thickness \\(\\frac{d}{5}\\) is inserted between the plates. The capacitance of the capacitor will become",
"vi_candidate": null
} | null | null | null | Dielectrics play an important role in design of capacitors. The molecules of a dielectric may be polar or non-polar. When a dielectric slab is placed in an external electric field, opposite charges appear on the two surfaces of the slab perpendicular to electric field. Due to this an electric field is established inside the dielectric.
The capacitance of a capacitor is determined by the dielectric constant of the material that fills the space between the plates. Consequently, the energy storage capacity of a capacitor is also affected. Like resistors, capacitors can also be arranged in series and/or parallel. | [
{
"number": "(i)",
"options": {
"A": "O₂",
"B": "H₂",
"C": "N₂",
"D": "HCl"
},
"text": "Which of the following is a polar molecule ?"
},
{
"number": "(ii)",
"options": {
"A": "A polar dielectric has a net dipole moment in absence of an external electric field which gets modified due to the induced dipoles.",
"B": "The net dipole moments of induced dipoles is along the direction of the applied electric field.",
"C": "Dielectrics contain free charges.",
"D": "The electric field produced due to induced surface charges inside a dielectric is along the external electric field."
},
"text": "Which of the following statements about dielectrics is correct ?"
},
{
"number": "(iii)",
"options": {
"A": "increases and the electric field inside it also increases.",
"B": "decreases and the electric field also decreases.",
"C": "decreases and the electric field increases.",
"D": "increases and the electric field decreases."
},
"text": "When a dielectric slab is inserted between the plates of an isolated charged capacitor, the energy stored in it :"
},
{
"number": "(iv)",
"options": {
"A": "\\(\\left[\\frac{4K}{5K + 1}\\right]C_0\\)",
"B": "\\(\\left[\\frac{K + 5}{4}\\right]C_0\\)",
"C": "\\(\\left[\\frac{5K}{4K + 1}\\right]C_0\\)",
"D": "\\(\\left[\\frac{K + 4}{5K}\\right]C_0\\)"
},
"text": "(a) An air-filled capacitor with plate area A and plate separation d has capacitance C₀. A slab of dielectric constant K, area A and thickness \\(\\frac{d}{5}\\) is inserted between the plates. The capacitance of the capacitor will become"
}
] |
557 | (iv)(b) | standard | Two capacitors of capacitances $2 C_0$ and $6 C_0$ are first connected in series and then in parallel across the same battery. The ratio of energies stored in series combination to that in parallel is | null | [
"Capacitors in series and parallel",
"Energy stored in a capacitor"
] | Electrostatic Potential and Capacitance | [
"img\\img 160.jpeg"
] | null | {
"A": "$\\frac{1}{4}$",
"B": "$\\frac{1}{6}$",
"C": "$\\frac{2}{15}$",
"D": "$\\frac{3}{16}$"
} | null | null | null | null | null | null |
558 | 31. (a) | standard | You are given three circuit elements X, Y and Z. They are connected one by one across a given ac source. It is found that V and I are in phase for element X. V leads I by $\frac{\pi}{4}$ for element Y while I leads V by $\frac{\pi}{4}$ for element Z. Identify elements X, Y and Z. | null | [
"AC circuits",
"Phase relationship between voltage and current"
] | Alternating Current | null | [
{
"part": "(i)",
"text": "You are given three circuit elements X, Y and Z. They are connected one by one across a given ac source. It is found that V and I are in phase for element X. V leads I by $\\frac{\\pi}{4}$ for element Y while I leads V by $\\frac{\\pi}{4}$ for element Z. Identify elements X, Y and Z."
},
{
"part": "(ii)",
"text": "Establish the expression for impedance of circuit when elements X, Y and Z are connected in series to an ac source. Show the variation of current in the circuit with the frequency of the applied ac source."
},
{
"part": "(iii)",
"text": "In a series LCR circuit, obtain the conditions under which (i) impedance is minimum and (ii) wattless current flows in the circuit."
}
] | null | null | null | null | null | null | null |
559 | 31. (b) | standard | Describe the construction and working of a transformer and hence obtain the relation for $\left(\frac{v_s}{v_p}\right)$ in terms of number of turns of primary and secondary. | null | [
"Transformer",
"Electromagnetic Induction"
] | Electromagnetic Induction | null | [
{
"part": "(i)",
"text": "Describe the construction and working of a transformer and hence obtain the relation for $\\left(\\frac{v_s}{v_p}\\right)$ in terms of number of turns of primary and secondary."
},
{
"part": "(ii)",
"text": "Discuss four main causes of energy loss in a real transformer."
}
] | null | {
"figure_paths": null,
"marks": null,
"options": null,
"or_question": null,
"question_number": "31. (a)",
"question_text": "You are given three circuit elements X, Y and Z. They are connected one by one across a given ac source. It is found that V and I are in phase for element X. V leads I by $\\frac{\\pi}{4}$ for element Y while I leads V by $\\frac{\\pi}{4}$ for element Z. Identify elements X, Y and Z.",
"question_type": "standard",
"related_chapter": "Alternating Current",
"related_topics": [
"AC circuits",
"Phase relationship between voltage and current"
],
"sub_parts": [
{
"part": "(i)",
"text": "You are given three circuit elements X, Y and Z. They are connected one by one across a given ac source. It is found that V and I are in phase for element X. V leads I by $\\frac{\\pi}{4}$ for element Y while I leads V by $\\frac{\\pi}{4}$ for element Z. Identify elements X, Y and Z."
},
{
"part": "(ii)",
"text": "Establish the expression for impedance of circuit when elements X, Y and Z are connected in series to an ac source. Show the variation of current in the circuit with the frequency of the applied ac source."
},
{
"part": "(iii)",
"text": "In a series LCR circuit, obtain the conditions under which (i) impedance is minimum and (ii) wattless current flows in the circuit."
}
],
"text": null,
"vi_candidate": null
} | null | null | null | null | null |
560 | 32. (a) | standard | A plane light wave propagating from a rarer into a denser medium, is incident at an angle i on the surface separating two media. Using Huygen's principle, draw the refracted wave and hence verify Snell's law of refraction. | null | [
"Huygen's Principle",
"Refraction",
"Snell's Law"
] | Wave Optics | null | [
{
"part": "(i)",
"text": "A plane light wave propagating from a rarer into a denser medium, is incident at an angle i on the surface separating two media. Using Huygen's principle, draw the refracted wave and hence verify Snell's law of refraction."
},
{
"part": "(ii)",
"text": "In a Young's double slit experiment, the slits are separated by 0.30 mm and the screen is kept 1.5 m away. The wavelength of light used is 600 nm. Calculate the distance between the central bright fringe and the 4th dark fringe."
}
] | null | null | null | null | null | null | null |
Subsets and Splits