Two planets have radii r1 and r2 and densities d1 and d2respectively. The ratio of the gravitational force on them will be:
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a
r1d2:r2d1
b
r14d12:r24d22
c
r 12d1:r 22d2
d
r1d12:r2d22
answer is B.
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Detailed Solution
Force of attraction between two masses= F=Mg=GM2r2; here universal gravitation constant=G; mass=\M; distance=r mass=M=4π3r3d d=density F=G4π3r3d2r2 F∝d2r4 F1F2=d1d22×r1r24