CUET · PHYSICS · PYQ PAPER 2023

The potential of a charged spherical conductor of radius r is 20V. The potential at a point r/4 from its center is:

A 10V
B 5V
C 20V
D 0V

Verified Solution

Answer & Solution

Correct Answer

(C) 20V

Step-by-step Solution

Detailed explanation

\( V_{inside} = V_{surface} \) \( V_{r/4} = 20V \)

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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List-I	List-II
(A) Light	(I) 1 mm to \(10^{-3} nm\)
(B) Infra-red	(II) 700 nm to 400 nm
(C) X-rays	(III) 400 nm to 1 nm
(D) UV rays	(IV) 1 mm to 700 nm

y	1	2	3	4	5
P(y)	2k	3k	k	4k	5k

List - I	List - II
(A) P(y > 2)	(I) \(\frac{2}{5}\)
(B) k	(II) \(\frac{2}{3}\)
(C) \(P(y \leq 3)\)	(II) \(\frac{8}{15}\)
(D) \(P(2 \leq y \leq 4)\)	(II) \(\frac{1}{15}\)