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Three spherical shells of masses M, 2M a...

Three spherical shells of masses `M`, `2M` and `3M` have radii `R`, `3R` and `4R` as shows in figure. Find net potential at point `P`, where `CP = 2R`.

A

`- (13 GM)/(12 R)`

B

`- (23 GM)/(6 R)`

C

zero

D

`- (23 GM)/(12 R)`

Text Solution

Verified by Experts

The correct Answer is:
D
Pint `p` lies outside the innermost shall. So, in the denominator we will substitude actual distance of `p` from the center or `r = CP = 2R`. ltbr gt This point `p` lies inside the other two shells. So, we substitude their radii, `3r` and `4R` in the denominator.
`:. V_(P) = - (GM)/(2R) - (G(2M))/(3R) - (G(3M))/(4R) = - (23 GM)/(12 R)`
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