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A particle of mass m is thrown upwards f...

A particle of mass `m` is thrown upwards from the surface of the earth, with a velocity `u`. The mass and the radius of the earth are, respectively, `M` and `R`. `G` is gravitational constant `g` is acceleration due to gravity on the surface of earth. The minimum value of `u` so that the particle does not return back to earth is

A

`sqrt(2gR^2)`

B

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

C

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

D

`sqrt((2gM)/(R^2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`1/2mu^2=(GMm)/RrArru=sqrt((2GM)/R)`
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