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A particle of mass ‘m’ is projected with a velocity υ = kVe(k < 1) from the surface of the earth. (Ve = escape velocity) The maximum height above the surface reached by the particle is :

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Question

A particle of mass ‘m’ is projected with a velocity υ = kVe(k < 1) from the surface of the earth.

(Ve = escape velocity) 

The maximum height above the surface reached by the particle is :

Options

  • `R (K/(1 + k))^2`

  • `(R^2k)/(1 + k)`

  • `(Rk^2)/(1 - k^2)`

  • `R (K/(1 - k))^2`

MCQ
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Solution

`(Rk^2)/(1 - k^2)`

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