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Questions  

A planet with mass equal to four times the mass of the Earth, has the average density half that of  the Earth. Time period of a pendulum is 2 second  on the surface of the Earth, The time period of the same  pendulum on the surface of the planet is 

a
4 sec
b
2 sec
c
2 2 sec
d
2 sec

detailed solution

Correct option is B

M4M=43πR13ρ43πR23ρ2=2R13R23 18=R13R23⇒R1R2=12      g1g2=M4M2RR2=1    g=GMR2   as g are same time period will also be same as T=2πlg

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