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The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can be written as
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Correct option is A
mω2R=GMmR2⇒2πT2R=GMR2⇒M=4π2R3GT2
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A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at
P, distance 2R from the centre O of the sphere. A spherical cavity of radius R/2 is now made in the sphere as shown in figure. The sphere with cavity now applies an gravitational force F2 on same particle placed at P. The ratio F2/ F1 will be
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