CUET · PHYSICS · PYQ PAPER 2023

A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is 10 cm and refractive index of glass is 1.5, the image would be at

A 20 cm
B -20 cm
C 30 cm
D -30 cm

Verified Solution

Answer & Solution

Correct Answer

(A) 20 cm

Step-by-step Solution

Detailed explanation

\( \mu_1 = 1.5 \), \( \mu_2 = 1 \), \( u = -10 \text{ cm} \), \( R = -5 \text{ cm} \) \( \frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R} \) \( \frac{1}{v} - \frac{1.5}{-10} = \frac{1 - 1.5}{-5} \) \( \frac{1}{v} + 0.15 = 0.1 \) \( \frac{1}{v} = -0.05 \)…

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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Match List-I with List-II

List-I	List-II
(A) \(\Lambda _{ m }\) of \(K C l\) increases on dilution	\(I\). is a linear. Graph
(B) \(\Lambda_m\) of \(CH _3 COOH\) increases on dilution	\(II\) is a non-linear graph
(C) \(\Lambda_m\) of \(K C l\) versus (molarity) \(^{1 / 2}\)	\(III\) due to increased degree of ionisation
(D) \(\Lambda_m\) of \(CH _3 COOH\) versus (molarity) \(^{1 / 2}\)	\(IV\) due to weakening of interionic attractions

Choose the correct answer from the options given below:

CUET 2023 Medium

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