List of top Questions asked in CUET (PG)

The system of equations
x + 2y + z = 6
x + 4y + 3z = 10
x + 4y + \(\lambda\)z = \(\mu\)
is inconsistent if

The complex number \(z_1, z_2\) and origin, form an equilateral triangle only if:

Let z, \(z_1, z_2\) be complex numbers. Then which of the following statements are True?
(A) \(e^z\) is never zero
(B) \(|e^{ix}|=1\) if x is real
(C) \(e^z = 1\) if z is an integral multiple of \(2\pi i\)
(D) \(e^{z_1} = e^{z_2}\) if and only if \(z_1 - z_2 = \frac{2\pi i n}{\sqrt{3}}\), where n is an integer
(E) \(|e^z|>e^z\) for \(z \neq 0\)
Choose the correct answer from the options given below:

For what values of n, \( \tan^{-1}3 + \tan^{-1}n = \tan^{-1}\left(\frac{3+n}{1-3n}\right) \) is valid

The asymptotes of the curve \( (x^2 - a^2)(y^2 - b^2) = a^2b^2 \) are

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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The roots of the equation \( x^4 - 20x^3 + 140x^2 - 400x + 384 = 0 \) are in

If \(1, \alpha_1, \alpha_2, \alpha_3, \ldots, \alpha_{n-1}\) are n roots of the equation, \( x^n = 1 \) then the value of \( (1-\alpha_1)(1-\alpha_2)(1-\alpha_3)\ldots(1-\alpha_{n-1}) \) is

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)

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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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 ratio of adiabatic to the isobaric coefficient of expansion is

Which of following is correct form of first TdS equation ?

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?

A zone plate

Work done in compressing adiabatically 1g of air, initially at NTP to one fourth of its original volume is: (take density of air = 0.0001465 g/cm³ and \(\gamma\) = 1.5)

Change of entropy of a perfect gas for isochoric process is

Sunlight is reflected from a material. The reflected light is 100% polarized at a certain instant. Assuming refractive index of material equal to 1.732, the angle between the sun and the horizon at that instant is

In Michelson Interferometer the intensity is expressed as \( 4A^2\cos^2\frac{\delta}{2} \), where \( \delta = \frac{2\pi}{\lambda}(2d \cos\theta) \), d being the distance between Mirrors M₁ and M₂. The intensity is maximum, when \( \delta \) is

Two satellites A and B of mass 'M' are orbiting the earth in circular orbits at altitudes 2R and 5R respectively, where R is the radius of the earth. The ratio of kinetic energies of satellite A and B will be

The condition for bright ring in the Newton's Ring arrangement is (where 't' is thickness of film, m is order and \(\lambda\) is wavelength):

Which of the following is not a characteristic of a laser light?

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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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 is true in a LCR circuit?
(A) In purely inductive circuit (R = 0), Quality factor is infinite.
(B) Resistance 'R' is alone responsible for damping of oscillations.
(C) Discharge of capacitor is not oscillatory in character.
(D) Q-factor is measure of sharpness of resonance in case of a driven oscillator.
Choose the correct answer from the options given below: