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Q.

If three uniform spheres, each having mass M and radius R, are kept in such away that each touches the other two, the magnitude of the gravitational force on any sphere due to the other two is

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a

GM24r2

b

2GM2r2

c

2GM24r2

d

3GM24r2

answer is D.

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Detailed Solution

F→=F→1+F→2 As  F→1=F→2∴ |F→|=2F1cos⁡30∘ =2GM2(2r)232=34GM2r2
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If three uniform spheres, each having mass M and radius R, are kept in such away that each touches the other two, the magnitude of the gravitational force on any sphere due to the other two is