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A particle falls towards the earth from ...

A particle falls towards the earth from inifinity. The velocity with which it reaches the earth is surface is

A

`sqrt(gR)`

B

`sqrt(2gR)`

C

2gR

D

gR

Text Solution

Verified by Experts

The correct Answer is:
B
The escape velocity for a body projected from the surface of the earth is `sqrt(2gR)`. When we consider, `v_(e)`, we assume that the body is taken to an infinite distance from the surface of earth. Conversely if we bring a body from infinity to the surface of the earth it will acquire the velocity `v_(e )= sqrt(2gR)`.
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