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Q.

If the mass of earth is 80 times that of moon and diameter is double that of moon and g on the surface of earth is9.8 ms−2 . Then the value of g on the moon is

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a

0.98 ms−2

b

4.9 ms−2

c

49 ms−2

d

0.49 ms−2

answer is A.

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Detailed Solution

Me=80 Mm

De=2Dm

⇒Re=2Rm

g=GMR2

⇒gmge=MmMe(ReRm)2

=gmge=MeMe(ReRm)2

=180(2)2

=120

⇒gm=9.820=0.49 ms−2

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