PYQ2025 Questions

Which of the following is not the unit of length :

-- The speed of light in a medium is 1.5 × 10⁸ m/s. The critical angle for this medium with respect to air is

The frequency of an electromagnetic wave in free space is 2 MHz. When it passes through a medium of relative permittivity 4.0, then its wavelength

-- In a p-type semiconductor, the majority charge carriers are

-- The energy of an electron in nth orbit of hydrogen atom is E_n = -13.6/n² eV. The energy required to excite an electron from ground state to first excited state is

-- Two magnets of magnetic moments M and 2M are placed in a vibration magnetometer, with like poles together and then with unlike poles together. The ratio of their time periods (T1/T2) will be

-- For the logic circuit shown below, the truth table is

The susceptibility of a paramagnetic material is χ at 27°C. At what temperature will its susceptibility be χ/2?

A bar magnet is dropped through a horizontal aluminium ring (having a small cut) along the axis of the ring as shown below. The acceleration (a) of the bar magnet will be (where g is acceleration due to gravity)

A long cylindrical conductor of radius R carries a current such that current density j varies across the cross-section as j = αr³ where α is a constant and r is distance from axis of the cylinder. Then magnetic field B(r) will be (for r < R)

If a series LCR circuit at resonance has a quality factor of Q and applied voltage is V₀, then voltage drop across the capacitor (C) under this condition will be

A magnet having magnetic moment of 3 × 10⁴ J T⁻¹ is free to rotate in a horizontal plane where magnetic field is 3 × 10⁻⁵ T. The work done by external agent to rotate the magnet slowly from a direction parallel to field to a direction opposite to the

Magnetic field at the centre of a complete circular loop (one turn) of a current carrying conductor will be (where current is i and radius of circular loop is R)

A conducting spherical thin shell of radius 4R is given a charge 6Q. Two point charges of -Q each are placed at a distance R from the centre O. Electric potential at point P which is at a distance 6R from the centre as shown below, will be

Consider the following statements A and B; and choose the correct answer.A: Electric charge is quantized.B: In either case, whether polar or non-polar, a dielectric develops a net dipole moment in the presence of an external electric field.

Electric dipole moment of a system of three charges (-5q, 4q, q) as shown in figure, will be

Two charges placed in water at a distance 1 m apart, experience net force F on each other. If these charges are now placed in air at the same distance, then the new net force (F') acting on each charge is such that

Resistance of voltmeter shown in the circuit is

A wire is in the form of a semi-circle of radius r/2. One end of wire is attached to an axis about which it rotates with an angular speed ω. The axis is normal to the plane of the semi-circle. The wire is placed in a uniform magnetic field B parallel

The deflection in a moving coil galvanometer falls from x divisions to y divisions when a shunt resistance of 5 Ω is applied. If resistance of galvanometer is 15 Ω, then

Consider a thin rectangular sheet of sides a, b and thickness x, made of a material of resistivity ρ as shown below. The resistance between the two shaded opposite faces will be

A circular coil of wire consists of exactly 50 turns with a total resistance of 0.4 Ω. The area of the coil is 0.2 m². The coil is kept in a uniform magnetic field (B) as shown in figure. The magnetic field is decreased at a constant rate of 3 T/s. T

A long straight wire carrying current i = 50 A lies along z-axis. Magnetic field at point P(3 m, 4 m, 5 m) will be

Electric field due to an infinite non-conducting sheet of surface charge density 2σ, at a distance 2 m from it, is (where ε0 is permittivity of free space)

The four arms of a Wheatstone bridge have resistances as shown below. A galvanometer of 5 Ω resistance is connected across BD and a potential difference of 20 V is maintained across AC using a cell. Choose the correct option.

A slab of dielectric material is inserted in a capacitor to fill the space between its parallel plates completely. The capacitor is charged by a battery. Now dielectric is removed completely. The electric field in the capacitor will

If a direct current of 2 A is superimposed on an alternating current (4 cos 2ωt) A flowing through a wire, the effective value of the resulting current in the circuit is

In a series LCR circuit as shown in figure, the readings of voltmeters V1 and V2 are 70 V and 80 V respectively. The source voltage is 100 V while voltage across inductor (L), resistor (R) and capacitor (C) is VL, VR and VC respectively. Choose the c

A straight copper wire of length 1 m is placed perpendicular to the plane of magnetic field B = (i + 3k) T. If the wire moves with velocity v = (3i + 2j + k) m/s, then magnitude of motional emf across its ends will be

Given below are two statements: Assertion (A): EMF of a cell is always equal to potential difference across its terminals. Reason (R): The internal resistance (r) of a cell can be calculated by formula r = R(E/V - 1).

Two charges -20 C and +10 C are placed 30 cm apart. The potential at the centre of the line joining the two charges is (in 10^11 V)

Electric field E = 2x³ i exists in a region. The potential difference V_A - V_B between points A(x=0) and B(x=2 m) must be

A point charge of +1 μC is placed at a distance 10 cm directly above the centre of a cube of side length 40 cm. The flux through the cube is (in SI unit)

Two inductors of self-inductance 9 H and 4 H are connected in series such that their coupling constant is zero. The equivalent inductance of the combination will be

The pole strength of a bar magnet of magnetic moment 0.8 A m² with the poles 20 cm apart, will be (in SI unit)

A particle having charge q and mass m moving with velocity u enters a region of uniform magnetic field B at an angle 60° with B. The pitch of the helical path of the particle will be (assume α = q/m)

When a p-n junction diode is forward biased, which of the following occurs?

An electron and a positron, each having kinetic energy of 0.49 MeV, annihilate after coming to rest in vacuum. Assume that the electron and positron are moving in opposite direction and after annihilation two gamma photons having equal energy are pro

-- 40. The radius of a nucleus with mass number A varies as

The energy of an electron in the ground state of a hydrogen atom is -13.6 eV. The energy of the electron in the third excited state will be

-- 38. A particle of mass m moves in a circular orbit under a central force field for which the potential energy is given by U = ar^2, where a is a positive constant and r denotes the radius. Assuming Bohr's quantisation condition for angular momentu

Monochromatic light is incident on a metal surface. Match the columns for the given photoelectric effect and choose the correct option .Column I:(a) Stopping potential just zero(b) Photoelectric current increases(c) Maximum kinetic energy of photoele

-- If a proton and α-particle have the same de-Broglie wavelength, the ratio of their velocities (vp/vα) is

In a Young's double-slit experiment, the slit plane is first illuminated with monochromatic light of wavelength λ1. It is observed that the point P, nearest to the central maximum O, has an intensity equal to 50% of the intensity at O. When the exper

-- 34. The focal lengths of the objective and eyepiece lenses of an astronomical telescope are respectively 140 cm and 5 cm. The maximum magnifying power which can be obtained from the telescope is nearly

Which among the following electromagnetic radiations has the highest frequency?

-- 31. In a purely inductive AC circuit, the

-- 30. An induction coil with some resistance and a capacitor are connected in series with a voltage source of 12 V. By varying the frequency of the source, a maximum rms current of 3 A is observed. If this induction coil is connected to a DC battery

-- A material is placed in a uniform magnetic field. It is observed that the material develops magnetisation opposite to the direction of the applied field. The material is

-- A particle of charge per unit mass α is released from origin with velocity v = v0 i in a magnetic field B = -B0 k. The x-coordinate of the particle at t = π / (2B0α) would be