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With what velocity should a particle be ...

With what velocity should a particle be projected so that its maximum height attained becomes equal to radius of earth ?

A

`((GM)/R)^(1//2)`

B

`((8GM)/R)^(1//2)`

C

`((2GM)/R)^(1//2)`

D

`((4GM)/R)^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Apply energy conservation `"-GMm"/R+1/2mv^2`
`=-"GMm"/"2R" rArr v=sqrt((GM)/R)`
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