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Q.

Two solid metal spheres of same material and radius ‘r’ are in contact with each other. The gravitational force of attraction between the spheres is proportional to

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a

r^{- 2}

b

r^{4}

c

r^{3}

d

r^{- 3}

answer is A.

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Detailed Solution

F = \frac{{Gm}_{1} m_{2}}{r^{2}} = \frac{G . \frac{4}{3} π r^{3} d . \frac{4}{3} π r^{3} d}{r^{2}} = \frac{G . \frac{16}{9} π^{2} r^{6} d^{2}}{r^{2}} \Rightarrow F \propto r^{4}

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