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The escape velocity of a body from the s...

The escape velocity of a body from the surface of earth is

A

`sqrt(gR_E)`

B

`sqrt((gR_E)/(2))`

C

`gR_E`

D

`sqrt(2 g R_E)`

Text Solution

Verified by Experts

The correct Answer is:
D
The escape speed of a body from the earth.s surface is
`v_e = sqrt((2GM_E)/(R_E)) = sqrt(2gR_E) " " ( because g = (GM_E)/(R_E^2))`
where `M_E` and `R_E` are the mass and radius of the earth respectively.
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