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Q.

A planet has double the mass of the earth. Its average density is equal to that of the earth.  An object weighing W on earth will weight on that planet :

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a

2W

b

22/3W

c

21/3W

d

W

answer is B.

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Detailed Solution

detailed_solution_thumbnail

 Let mass of earth =M& Density =ρ

Acceleration due to gravity 

=GMR2=4π3ρGR

Weight = W

 On other planet of mass = 2M

ρR13=2ρR3;R1=21/3Rg1=4π3ρGR21/3W1=21/3W

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