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The escape velocity corresponding to a planet of mass M and radius R is 50 km/sec. If the planet's mass and radius were 4M and R  respectively then the corresponding escape velocity would be

a
100 km/sec
b
50 km/sec
c
200 km./sec
d
25 km/sec

detailed solution

Correct option is A

The escape velocity ve is given byVe=2GMR⋅  So  50=2GMRIn second caseve′=2G(4M)R1/2=22GMR1/2=2×50=100km/sec

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