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A person can jump to a height of 3m on the earth on a planet of density13rd that of the earth and radius 12 of the earth, he can jump to a height of

a
2m
b
10m
c
18m
d
8m

detailed solution

Correct option is C

PEe=PEp⇒mgehe=mgphphP=gehegp---(1)g=43πGRρgegp=ReRpρeρp=ReRe2ρeρe3=6----(2)substitute in (1)hP=gehegp=6×3=18m

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