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Question

There is a hollow sphere of charge Q and radius R. The self-potential energy of the sphere is proportional to (charge)and (radius).

A
Q
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B
Q2
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C
1R
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D
1R2
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Solution

The correct options are
B Q2
C 1R
Go back to the videos if you don’t remember self-potential energy of a hollow sphere. It’s given by KQ22R. Hence it is proportional to Q2 and 1R.
Or if we simply use dimensional analysis, after K, we have to have remaining dimensions forming Q2R. Since only Q and R terms are there in the option, the answer is obvious.

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