CUET · PHYSICS · PYQ PAPER 2023

A ray is incident normally on the face of an equilateral prism of refracting angle \(60^{\circ}\).
The refractive index of the prism is \(\frac{2}{\sqrt{3}}\).
The angle of deviation will be:

A \(60^{\circ}\)
B \(30^{\circ}\)
C \(45^{\circ}\)
D \(90^{\circ}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(30^{\circ}\)

Step-by-step Solution

Detailed explanation

\(r_1 = 0^{\circ}\) \(r_2 = A - r_1 = 60^{\circ} - 0^{\circ} = 60^{\circ}\)…

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.

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A/molL-1	0.10	0.10	0.20
\(B / mol L ^{-1}\)	0.30	0.10	0.30
\(r_o / mol L ^{-1} s^{-1}\)	\(6.81 \times 10^{-4}\)	\(2.27 \times 10^{-4}\)	\(13.62 \times 10^{-4}\)

A ray is incident normally on the face of an equilateral prism of refracting angle \(60^{\circ}\).The refractive index of the prism is \(\frac{2}{\sqrt{3}}\).The angle of deviation will be:

Step-by-step Solution

A ray is incident normally on the face of an equilateral prism of refracting angle \(60^{\circ}\).
The refractive index of the prism is \(\frac{2}{\sqrt{3}}\).
The angle of deviation will be: