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Questions  

Densities of two planets are in the ratio 1 : 2 and their radii are in the ratio 3 : 1. Then the ratio of time periods of a simple pendulum of their surfaces are in the ratio.

a
6  :  1
b
1 :  6
c
2  :  3
d
2  :  3

detailed solution

Correct option is C

(3)g=GMR2=G. 43 πR3ρR2 =  43 πGρR   ⇒   g ∝  ρRT=2π lg  ⇒  T  ∝   1g   ⇒   T  ∝   1ρR∴   T1T2=  ρ2ρ1  R2R1= 2.  13 =  23

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