# A solid sphere of uniform density and radius R applies a gravitational force of attraction

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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 a gravitational force F2 on same particle placed at P. The ratio F2/F1 will be

(a) 1/2

(b) 7/9

(c) 3

(d) 7

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Correct option (b) 7/9

Explanation :