CUET · PHYSICS · PYQ PAPER 2023

A telescope has an objective of focal length 30 cm and an eyepiece of focal length 3.0 cm. It is focused on a scale distant 2.0 m. For seeing with relaxed eye, the separation between the objective and eyepiece would be:

A \( 35.3 \text{ cm} \)
B \( 38.3 \text{ cm} \)
C \( 37 \text{ cm} \)
D \( 30 \text{ cm} \)

Verified Solution

Answer & Solution

Correct Answer

(B) \( 38.3 \text{ cm} \)

Step-by-step Solution

Detailed explanation

\( \frac{1}{v_o} = \frac{1}{f_o} + \frac{1}{u_o} \) \( \frac{1}{v_o} = \frac{1}{30 \text{ cm}} + \frac{1}{-200 \text{ cm}} = \frac{1}{30} - \frac{1}{200} = \frac{200-30}{6000} = \frac{170}{6000} \) \( v_o = \frac{6000}{170} \approx 35.29 \text{ cm} \) \( L = v_o + f_e \)…

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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