CUET · PHYSICS · PYQ PAPER 2025
A hollow metal sphere of radius 10 cm is uniformly charged such that the electric potential at a distance of 20 cm from the center is 10 V. The electric potential at a distance of 5 cm from the center of the sphere will be
- A Zero
- B \(20 V\)
- C \(5 V\)
- D \(40 V\)
Answer & Solution
Correct Answer
(B) \(20 V\)
Step-by-step Solution
Detailed explanation
\( V_{out} = \frac{kQ}{r_{out}} \) \( 10\,V = \frac{kQ}{0.2\,m} \) \( kQ = 2\,V \cdot m \) Potential inside a hollow metal sphere is constant and equal to potential on surface \( (r \le R) \). \( V_{in} = \frac{kQ}{R} \) \( V_{in} = \frac{2\,V \cdot m}{0.1\,m} \)…
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