A comet of negligible initial speed approaches Earth from infinity along a straight line

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A comet of negligible initial speed approaches Earth from infinity along a straight line. At what distance from Earth’s centre will its speed first reach one-half of Earth’s surface escape speed? (a) 2R⊕2R_{\oplus} (b) 8R⊕8R_{\oplus} (c) 4R⊕4R_{\oplus} (d) 43R⊕\dfrac{4}{3}R_{\oplus}

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