A uniform ring and uniform sphere are placed as shown in the figure. The gravitational attraction between the sphere and ring (d=ā3R) is.
A
8GM2R2
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B
2GM2R2
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C
3GM22R2
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D
√3GM2R2
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Solution
The correct option is D√3GM2R2 Gravitational field due to ring at a distance d=ā3 R on its axis is E=GMd(R2+d2)3/2=ā3GM8R2 Force on the sphere = mass of sphere Ć E