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 the negligible, then the maximum height from the centre of earth, to which the body can go, will be ( R : radius of earth)

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

JEE Main 2026 Model Paper 1

Question : 16 of 75

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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 the negligible, then the maximum height from the centre of earth, to which the body can go, will be ( R : radius of earth)

‌
R
1+λ2
‌
R
1−λ2
‌
R
1−λ
‌
λ2R
1−λ2

Validate

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