Q.

Three uniform spheres each of mass m and diameter D are kept in such a way that each touches the other two, then magnitude of the gravitational force on any one sphere due to the other two is

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a

3Gm24D2

b

3Gm2D2

c

23Gm2D2

d

3Gm2D2

answer is D.

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Detailed Solution

Gravitational force on one sphere due to the other two is F=F12+F22+2F1F2Cosθ=3F1
But F1=Gm2D2F=3Gm2D2 F1=F2

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