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The gravitational force vec(F) upon an o...

The gravitational force `vec(F)` upon an object of mass m placed in external gravitational field `vec(E )_("ext")` is given by `vec(F)=m vec(E )_("ext")`. Consider a fixed mass ring (of mass M, radius R) in y-z plane, with centre at (0,0) and axis of ring along x direction.

If the point mass m placed at the centre of ring and given a velocity `v_(0)` such that point mass escapes from the gravitational field of ring. Then `v_(0)` is

A

`sqrt((3)/(2)(GM)/(R ))`

B

`sqrt((GM)/(2R))`

C

`sqrt((2GM)/(R ))`

D

`sqrt((GM)/(R ))`

Text Solution

Verified by Experts

The correct Answer is:
C
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