CUET · PHYSICS · PYQ PAPER 2025

A ray of light passes through an equilateral glass prism such that the angle of incidence (i) = angle of emergence (e). If the angle of emergence is 0.75 times the angle of the prism, the refractive index of the prism will be

A \( 2\sqrt{2} \)
B \( \frac{1}{\sqrt{2}} \)
C \(\sqrt{2}\)
D \(\frac{1}{2}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(\sqrt{2}\)

Step-by-step Solution

Detailed explanation

\( A = 60^\circ \) \( e = 0.75 \times 60^\circ = 45^\circ \) \( i = e = 45^\circ \) \( r = \frac{A}{2} = \frac{60^\circ}{2} = 30^\circ \) \( \mu = \frac{\sin i}{\sin r} = \frac{\sin 45^\circ}{\sin 30^\circ} = \frac{1/\sqrt{2}}{1/2} = \sqrt{2} \)

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

Explore more questions on app

From CUET

Match List-l with List-ll

List-l (Electronic configuration)	List-II (lon)
(A) \([ Ar ] 3 d^{10}\)	(I) \(Ce ^{4+}\)
(B) \(\left[ X _{ e }\right]\)	(II) \(Cu ^{+}\)
(C) \([ Rn ]\)	(III) \(Th ^{4+}\)
(D) \([ Xe ] 4 f^{11} 5 d^1\)	(IV) \(Lu ^{2+}\)

Choose the correct answer from the options given below:

CUET 2025 Medium

Explore more questions on app