A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U(r) vs r will be
A
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B
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C
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D
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Solution
The correct option is C The gravitational potential energy U(r) due to a shell at a distance r, where a point mass m is placed is:
For r≤R: U(r)=−GMmR
It will be constant in negative value
For r>R: U(r)=−GMmr
It will be increasing from negative to a positive value in hyperbolic manner.