A body of mass {\m} is projected with velocity \lambda v_{ {\e}} in vertically upward direction from the surface of the earth into space. It is given that v_{ {\e}} is escape velocity and \lambda< 1. If air resistance is considered to be negligible, then the maximum height from the centre of earth, to which the body can go, will be : ( {\R} : radius of earth) [27-Jul-2022-Shift-2]

\frac{\lambda^2 {\R}}{1-\lambda^2}

Gravitation Part 2

Section: Physics

Question : 87 of 105

Marks: +1, -0

A body of mass m is projected with velocity λve in vertically upward direction from the surface of the earth into space. It is given that ve is escape velocity and λ<1. If air resistance is considered to be negligible, then the maximum height from the centre of earth, to which the body can go, will be :
( R : radius of earth)

[27-Jul-2022-Shift-2]

‌
R
1+λ2
‌
R
1−λ2
‌
R
1−λ
‌
λ2R
1−λ2

Validate

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