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An object is shot vertically upwards from the surface of earth with a speed nv_e where v_e is the escape speed and n< 1. If R is the radius of earth, maximum distance of the object from the center of earth will be :

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R(1-n2)

R(1+n2)

R1+n2

R1−n2

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detailed solution

Correct option is D

12mnve2−GMmR=0−GMmR+hmax⇒hmax=R1−n2

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An object is shot vertically upwards from the surface of earth with a speed nve where ve is the escape speed and n< 1. If R is the radius of earth, maximum distance of the object from the center of earth will be :

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Ready to Test Your Skills?

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An object is shot vertically upwards from the surface of earth with a speed nv_e where v_e is the escape speed and n< 1. If R is the radius of earth, maximum distance of the object from the center of earth will be :