List of top Questions asked in CUET (PG)- 2025

Let \( \vec{F} \) be the vector valued function and f be a scalar function. Let \( \nabla = \hat{i}\frac{\partial}{\partial x} + \hat{j}\frac{\partial}{\partial y} + \hat{k}\frac{\partial}{\partial z} \) then,
(A) div (grad f) = \( \nabla^2 f \)
(B) curl curl \( \vec{F} \) = grad curl \( \vec{F} \) - \( \nabla^2 \vec{F} \)
(C) div curl \( \vec{F} \) = \( \vec{0} \)
(D) curl grad f = \( \vec{0} \)
(E) div (\(f\vec{F}\)) = f div \( \vec{F} \) + (grad f) \( \times \vec{F} \)
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A power gain of 100 in decibel (db) is:

In common emitter connection, the collector leakage current in a transistor is 300\(\mu\)A. The leakage current in the transistor in common base arrangement will be (Given \(\beta\) = 130):

Which of the following is/are correct about conservative and non-conservative forces?
(A) For conservative and non-conservative forces conservation of energy holds good.
(B) Friction is a conservative force.
(C) The work done by a conservative force in a closed path is zero.
(D) Friction is a non-conservative force.
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A moving particle has coordinates (5t + 3, 6t, 5)m in frame S at any time 't'. The frame s' is moving with velocity (3\(\hat{i}\)+4\(\hat{j}\))m/s with respect to the frame S. Velocity of particle in frame s' is:

In Photo- electric effect
(A) There is no time interval (very small ~ 10⁻⁹s) between incidence of light and emissions of photo electrons.
(B) Higher the frequency of light, more is the kinetic energy of photo electrons emitted.
(C) A bright light yields more photo-electrons than dim light.
(D) Blue light emits slower electrons than red light.
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In a perfectly elastic collision if m₁ and m₂ be the masses and v₁ and v₂ be the velocities of two colliding particles. Then velocity after the collision, if particles stick together will be:

The energy radiated per minute from the filament of an incandescent lamp at 2000 K, surface area \( 4 \times 10^{-5} \) m² and relative emittance is 0.85, will be (Given Stefan's constant \( \sigma = 5.7 \times 10^{-8} \) Jm⁻²s⁻¹K⁻⁴)

The Rayleigh Jean's Law,
(A) agrees well with experimental results at low frequencies.
(B) agrees well with experimental results at longer. wavelengths.
(C) shows ultra-violet catastrophe at higher frequencies.
(D) agrees well with experimental results at higher frequencies.
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X- rays of wavelength 15 pm are scattered from a target. The wavelength of the X-rays scattered through 60° is (Given compton wavelength = 2.426 pm)

An a. c. supply of 220V is applied to a half wave rectifier through a transformer of turn ratio 20:1. In this circuit the peak inverse voltage is:

Match List-I with List-II

\[ \begin{array}{|l|l|} \hline \textbf{List-I} & \textbf{List-II} \\ \hline (A) \; \text{Classius Clapeyron equation} & (I) \; PV^\gamma = \text{constant} \\ (B) \; \text{Gibbs Function} & (II) \; U + PV \\ (C) \; \text{Enthalpy} & (III) \; U - TS + PV \\ (D) \; \text{Adiabatic change in Perfect Gas} & (IV) \; \dfrac{dP}{dT} = \dfrac{L}{T (V_2 - V_1)} \\ \hline \end{array} \]
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Which of following is correct form of first TdS equation ?

Match List-I with List-II

\[ \begin{array}{|l|l|} \hline \textbf{List-I} & \textbf{List-II} \\ \hline (A) \; \text{Zener diode} & (I) \; \text{Negative resistance region} \\ (B) \; \text{Tunnel diode} & (II) \; \text{Voltage regulator} \\ (C) \; \text{Rectifier} & (III) \; \text{Pulsating d.c.} \\ (D) \; \text{Light emitting diode} & (IV) \; \text{Gallium Arsenide phosphide (GaAsP)} \\ \hline \end{array} \]
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The magnetic polarization results in a bound current Jb
(A) which is associated with magnetization of the material.
(B) which involves spin and orbital motion of electrons.
(C) which is the result of linear motion of charge when electric polarization changes.
(D) which is given by \( \nabla \times \vec{M} \) (where \( \vec{M} \) is magnetization).
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Match List-I with List-II

\[ \begin{array}{|l|l|} \hline \textbf{List-I} & \textbf{List-II} \\ \hline (A) \; \text{Displacement current } (J_d) & (I) \; \frac{\epsilon_0}{2} \int E^2 d\tau \\ (B) \; \text{Poynting vector} & (II) \; \nabla \cdot \vec{E} = \frac{\rho}{\epsilon_0} \\ (C) \; \text{Energy stored in electric field } (\vec{E}) & (III) \; \frac{1}{\mu_0}(\vec{E} \times \vec{B}) \\ (D) \; \text{Gauss's Law} & (IV) \; \epsilon_0 \frac{\partial \vec{E}}{\partial t} \\ \hline \end{array} \]
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The plane \(x + y + z = \sqrt{3}\lambda\) touches the sphere \(x^2 + y^2 + z^2 - 2x - 2y - 2z - 6 = 0\) if:

Match List-I with List-II

\[ \begin{array}{|l|l|} \hline \textbf{List-I} & \textbf{List-II} \\ \hline (A) \; \text{Force} & (I) \; \text{Torque} \\ (B) \; \text{Distance covered} & (II) \; \text{Angle described} \\ (C) \; \text{Mass} & (III) \; \text{Moment of inertia} \\ (D) \; \text{Linear velocity} & (IV) \; \text{Angular velocity} \\ \hline \end{array} \]
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A long coaxial cable carries current 'I' (current flows down the surface of inner cylinder of radius 'r1' and back along the outer cylinder of radius 'r2'). The magnetic energy stored in a section of length 'L' is

In order to produce LASER, the correct sequence of processes given below will be
(A) Pumping
(B) Population inversion
(C) Stimulated emission
(D) Light Amplification
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At a temperature of 47°C the thermal voltage is (Given value of Boltzmann's constant = 1.38 x10\(^{-23}\) joule/°K):

The equation of cone with vertex at (0, 0, 0) and passing through the circle given by
\(x^2 + y^2 + z^2 + x - 2z + 3y - 4 = 0, x - y + z = 2\), is

If J, E and I are the angular momentum, kinetic energy of rotation and moment of inertia respectively, then which of following is incorrect?

Which of following Maxwell's equation shows non existence of magnetic monopoles?

Which of the following orders in a double slit Fraunhofer diffraction pattern will be missing if the slit width is 0.12 mm and slits are 0.6 mm apart?