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Question: A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and r...

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in Fig. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and shell. Find the magnitude of force (gravitational) on this particle when 2r < x < 2R.

A

B

Gmm′(x−r)2\frac { G m m ^ { \prime } } { ( x - r ) ^ { 2 } }

C

Gmm′x2+GmMx2\frac { G m m ^ { \prime } } { x ^ { 2 } } + \frac { G m M } { x ^ { 2 } }

D

Answer

Gmm′(x−r)2\frac { G m m ^ { \prime } } { ( x - r ) ^ { 2 } }

Explanation

Solution

Gmm′(x−r)2\frac { G m m ^ { \prime } } { ( x - r ) ^ { 2 } }