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A solid sphere of uniform density and ra...

A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to `F_(1)` on a paticle placed at a distance 3R from the centre of the sphere. A spherical cavity of radius `R//2` is now made in the sphere as shown in the figure. The sphere with cavity now applies a gravitational force `F_(2)` on the same particle. The ratio `F_(2)//F_(1)` is

A

`(9)/(50)`

B

`(41)/(50)`

C

`(3)/(25)`

D

`(22)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
B
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