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A projectile is fired from the surface o...

A projectile is fired from the surface of earth of radius `R` with a velocity `k upsilon_(e)` (where `upsilon_(e)` is the escape velocity from surface of earth and `k lt 1)`. Neglecting air resistance, the maximum height of rise from centre of earth is

A

`v_(e) sqrt(1-eta^(2))`

B

`v_(e)sqrt((eta^(2))/(5))`

C

`(2)/(5)v_(e)sqrteta`

D

`(2eta)/(5)v_(e)`

Text Solution

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The correct Answer is:
A
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