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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 half the escape velocity for that planet. The maximum height attained by the body is

A

`(R )/(3 ) `

B

`(R )/(2)`

C

`(R )/(4)`

D

`(R )/(5 )`

Text Solution

Verified by Experts

The correct Answer is:
A
On applying conservation of energy, we get `(-GMm)/(R ) +1/2 m((1)/(2) sqrt((2GM)/(R )))^2 =-(GMm)/(R+h)`
`h=R//3`
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