MHT CET202015 Oct 2020Morning ShiftPhysicsOscillationsActual
The length of seconds pendulum is 1 ~m on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the seconds pendulum on the planet will be
Options
- A0.2 ~m
- B0 4 ~m
- C0 3 ~m
- D0.5 ~m
Correct answer
D. 0.5 ~m
Step-by-step solution
T_ e T_ p = _ e g_ e g_ p _ p But T_ e =T_ p 1= _ e g_ p g_ e _ p But g_ p = G 2 M (2 R)² = G M 2 4 R² = g 2 g_ e _ p = _ e g_ p _ p = _ e g_ p g_ e =1 1 2 =0.5 ~m