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NEET 1997 (AIPMT) · Escape Velocity

Escape Velocity question from NEET 1997 (AIPMT)

Q83NEET 1997 · AIPMTEasy

Escape Velocity

The escape velocity of a body on the surface of the earth is $11.2\text{ km/s}$ . If the earth's mass increases to twice its present value and radius of the earth becomes half, the escape velocity becomes

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Answer: (a)

$v_e \propto \sqrt{\frac{M}{R}}$
$\frac{v'}{v} = \sqrt{\frac{2}{1/2}} = 2 \Rightarrow v' = 22.4$ km/s
So the answer is (a) 22.4 km/s.

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