CUET · PHYSICS · PYQ PAPER 2025

A light ray is incident normal to one face of a right-angled isosceles prism and is totally internally reflected at the glass-air interface. If the angle of reflection is \(\frac{π}{4}\), what can be concluded about the refractive index?

A \(μ = \sqrt{2}\)
B \(μ < \frac{1}{\sqrt{2}}\)
C \(μ > \sqrt{2}\)
D \(μ < \sqrt{2}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(μ > \sqrt{2}\)

Step-by-step Solution

Detailed explanation

Angle of incidence at glass-air interface: \( i = 45^\circ = \frac{\pi}{4} \) Condition for Total Internal Reflection (TIR): \( i > c \) Where \( c \) is the critical angle, such that \( \sin c = \frac{1}{\mu} \) \( 45^\circ > c \) \( \sin 45^\circ > \sin c \)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

At any instant t the values of voltage applied and the current through a series LCR circuit are given as : \( V = \frac{1}{\sqrt{2}} \sin(100\pi t) \text{ V}, I = \frac{1}{\sqrt{2}} \sin(100\pi t + \frac{\pi}{3}) \text{ A} \). The average power consumed in the circuit is given by :

CUET 2023 Easy

Match List - I with List - II.

List - I	List - II
(A) \( \oint \vec{B} \cdot d\vec{A} = 0 \)	(I) Gauss's Law of electricity
(B) \( \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \)	(II) Gauss's Law of magnetism
(C) \( \oint \vec{B} \cdot dl = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d\phi_E}{dt} \)	(III) Faraday's Law
(D) \( \oint \vec{E} \cdot dl = -\frac{d\phi_B}{dt} \)	(IV) Ampere-Maxwell Law

Choose the correct answer from the options given below :

CUET 2023 Medium

A parallel plate capacitor whose capacitance C is 13.0 pF is charged by a battery to a potential difference V = 13.0 V between its plates. What is the potential energy of the capacitor ?

CUET 2023 Hard

Match List-I with List-II

List-I	List-II
(A) Intrinsic semiconductor	(I) Number of conduction electrons >> number of holes
(B) n-type semiconductor	(II) Number of conduction electrons << number of holes
(C) p-type semiconductor	(III) Net current is zero
(D) p-n junction under equilibrium	(IV) Number of conduction electrons = number of holes

Choose the correct answer from the options given below:

CUET 2025 Medium

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