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A thin uniform disc (see figure) of mas...

A thin uniform disc (see figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass for point P on its axis to infinity is

A

`(2GM)/(7R)(4sqrt2-5)`

B

`-(2GM)/(7R)(4sqrt(2)-5)`

C

`(GM)/(4R)`

D

`(2GM)/(5R)(sqrt(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`V=-int_(3R)^(4R) (sigma2pirdrG)/(sqrt(r^(2)+16R^(2))`
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