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Q.

A solid sphere of mass M and radius R lies concentrically inside a spherical shell of mass M and radius 2R. A particle of mass M is placed at a distance 4R from the common centre as shown in the figure. The total potential energy of interaction of the system of masses is

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a

−GM22R

b

−GM24R

c

−GM2R

d

−GM28R

answer is A.

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Detailed Solution

Total potential energy of the system = interaction energy of them.

[−GMM4R−GMM4R−GMM2R]=−GM2R

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