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Two spheres one of mass $M$ has radius $R$ . Another sphere has mass $4 M$ and radius $2 R$ . The centre to centre distance between them is $12 R$ . Find the distance from the centre of smaller sphere where net gravitational field is zero.

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$2 R$

$3 R$

$4 R$

$R$

answer is D.

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Detailed Solution

Two spheres one of mass M has radius R. Another sphere has mass 4M and radius 2R. The centre to centre distance between them is 12 R. Find the distance from the

$\frac{G M}{r^{2}} = \frac{G (4 M)}{(12 R - r)^{2}}$

Solving this equations, we get $r = 4 R$

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