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Q.

R and r are the radii of the earth and moon respectively. ρe  and  ρm are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is

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a

Rrρeρm

b

rRρeρm

c

rRρmρe

d

Rrρρm

answer is A.

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Detailed Solution

g=43πρGR∴g∝rρ∴gegm=Rr×ρeρm
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R and r are the radii of the earth and moon respectively. ρe  and  ρm are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is