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(C) The gravitational force $F$ between two spheres of mass $M$ and radius $R$ is given by $F = G \frac{M^2}{d^2}$,where $d$ is the distance between t

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$R^4$

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(C) The gravitational force $F$ between two spheres of mass $M$ and radius $R$ is given by $F = G \frac{M^2}{d^2}$,where $d$ is the distance between their centers.Since the spheres are in contact,the distance between their centers is $d = R + R = 2R$.The mass of each sphere is $M = 	ext{Volume} 	imes 	ext{Density} = \frac{4}{3} \pi R^3 ho$.Substituting these into the force equation:$F = G \frac{(\frac{4}{3} \pi R^3 ho)^2}{(2R)^2}$$F = G \frac{\frac{16}{9} \pi^2 R^6 ho^2}{4R^2}$$F = \frac{4}{9} G \pi^2 ho^2 R^4$Thus,$F \propto R^4$.

Two identical spheres are placed in contact with each other. The force of gravitation between the spheres will be proportional to ($R =$ radius of each sphere).

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