CUET · PHYSICS · PYQ PAPER 2025

A polaroid sheet is rotated between two crossed polarizers. The intensity of transmitted light would be maximum, when the angle between the axes of the first polarizer and the polaroid sheet is

A \( \pi/2 \)
B \( \pi/4 \)
C \( \pi \)
D \( \pi/3 \)

Verified Solution

Answer & Solution

Correct Answer

(B) \( \pi/4 \)

Step-by-step Solution

Detailed explanation

\( I_{trans} = (I_0/2) \cos^2 \theta \cos^2(\pi/2 - \theta) \) \( I_{trans} = (I_0/2) \cos^2 \theta \sin^2 \theta = (I_0/8) \sin^2(2\theta) \) For maximum intensity, \( \sin^2(2\theta) = 1 \) \( 2\theta = \pi/2 \) \( \theta = \pi/4 \)

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

Which of the following statements are correct?
(A) A nucleus of mass number A has a radius R given by the expression \( R = R_0 A^{1/3} \)
(B) Volume of nucleus is proportional to mass number A
(C) The density of nucleus increases with the radius of nucleus.
(D) Density of nuclear matter does not depend on its mass number A
Choose the correct answer from the options given below:

CUET 2025 Hard

Match List-I with List-II :

List - I	List - II
(A) Electric potential due to point charge	(I) \( \propto \frac{1}{r^2} \)
(B) Electric potential due to a dipole on axial line	(II) \( \propto \frac{1}{r^3} \)
(C) Electric field intensity due to a dipole on axial line	(III) \( \propto \frac{1}{r} \)
(D) Electric field intensity due to a quadrapole	(IV) \( \propto \frac{1}{r^4} \)

Choose the correct answer from the options given below :

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Match List-I with List-II

List-I (Complex ion)	List-II (Hybridisation)
(A) \(\left[ CoF _6\right]^{3-}\)	(I) \(d^2 s p^3\)
(B) \(\left[ Co ( CN )_4\right]^{2-}\)	(II) \(s p^3 d^2\)
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