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Question

A ring of mass m and radius R and a sphere of mass M and same radius R are separated by a distance 8R as shown in the figure. The force of attraction between the ring and the sphere is


A

2227GmMR2

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B

GmM8R2

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C

GmM9R2

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D

29GmM9R2

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Solution

The correct option is A

2227GmMR2


The sphere will behave as a point mass placed at its centre. So, effectively we have to find the force exerted on a point mass M at a distance 8R on the axis of the ring.
Now, electric field at point B because of the ring, E=Gm8R[R2+(8R)2]32=22Gm27R2
Now, force on the sphere, F=ME=22GmM27R2
Hence, the correct choice is (a).


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