The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become
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a
5.6 km/s
b
11.2 km/s (remain unchanged)
c
22.4 km/s
d
44.8 km/s
answer is C.
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Detailed Solution
ve=2GMR∴ve∝MRIf M becomes double and R becomes half then escape velocity becomes two times.