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A projectile is fired with a speed $v = 2 \sqrt{gR}$ from the surface of earth. It escapes the gravitational pull of earth. Its speed in interstellar space will be :

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3gR

gR2

2gR

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detailed solution

Correct option is D

−GMmR+12m(2gR)2=0+12mv∞2⇒v∞=2gR

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A projectile is fired with a speed v=2gR from the surface of earth. It escapes the gravitational pull of earth. Its speed in interstellar space will be :

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A projectile is fired with a speed $v = 2 \sqrt{gR}$ from the surface of earth. It escapes the gravitational pull of earth. Its speed in interstellar space will be :