A spherical shell of mass M/2 is enclosing a solid sphere of mass 3M and radius 2R. Then ratio of potential because of the spherical shell and the solid sphere at their common centre is
A
2:27
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B
1:6
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C
27:2
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D
2:3
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Solution
The correct option is A2:27 Potential due to a spherical shell at the centre is given by
V1=−G(M2)3R=−GM6R
And potential due to the small sphere at the center is