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Question

The moon's radius is 1/4 times that of the earth and its mass 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of the earth, then on the surface of the moon its value is :

A
g/4
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B
g/5
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C
g/6
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D
g/8
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Solution

The correct option is B g/5Acceleration due to gravity on the earth's surface is g=GMeR2eAcceleration due to gravity on the moon's surface is gm=GMmR2mGiven, Rm=Re4 or RmRe=14 and Mm=Me80 or MmMe=180So, gmg=MmMe×(ReRm)2=(1/80)×(4)2=1/5or gm=g/5

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