Electrostatics Question 514

Question: A hollow metallic sphere of radius R is given a charge Q. Then the potential at the centre is [Orissa JEE 2005]

Options:

A) Zero

B) $ \frac{1}{4\pi {\varepsilon _{0}}}.\frac{Q}{R} $

C) $ \frac{1}{4\pi {\varepsilon _{0}}}.\frac{2Q}{R} $

D) $ \frac{1}{4\pi {\varepsilon _{0}}}.\frac{Q}{2R} $

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Answer:

Correct Answer: B

Solution:

Potential V any where inside the hollow sphere, including the centre is $ V=\frac{1}{4\pi {\varepsilon _{0}}}\frac{Q}{r} $ .



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