If g is acceleration due to gravity on the earth's surface the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is -
A
mgR
B
2 mgR
C
mgR
D
mgR
Text Solution
Verified by ExpertsThe correct answer is:
A
At a distance x, from the centre of the earth, gravitational force:
F = 
dw = fdx = 
dx
w = 
dx = GMm 
= gR 1 m 
∴ Gain in potential energy
= gR 2 m 
= 
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