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A body is projected vertically upwards f...

A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to 1/3rd the escape velocity for the planet. The maximum height attained by the body is

A

`(R)/(2)`

B

`(R)/(3)`

C

`(R)/(5)`

D

`(R)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V^(2) = u^(2) + 2gh`
` u' = 0, v = sqrt(2gh)`
If `V^(n) = (V_(e))/(3)`
`sqrt(2 gh) = (1)/(3) sqrt(2gh) ` we get h = ` (R)/(9)`
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