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A ring having non-uniform distribution o...

A ring having non-uniform distribution of mass `M` and radius `R` is being considered. A point mass `m_(0)` is taken slowly towards the ring. In doing so, work done by the external force against the gravitational force exerted by ring is

A

`(GMm_(0))/(sqrt(2)R)`

B

`(GMm_(0))/R[1/(sqrt(2)-1/(sqrt(5))]`

C

`(GMm_(0))/R[1/(sqrt(5))-1/(sqrt(2))]`

D

`(GMm_(0))/(sqrt(5)R)`

Text Solution

Verified by Experts

The correct Answer is:
B

`W=m[V_(B)-V_(A)]`
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