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JEE Main201911 Jan 2019Evening ShiftPhysicsGravitationActual

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is 2 ~s . The period of oscillation of the same pendulum on the planet would be:

Options

  1. A3 2 ~s
  2. B2 3 ~s
  3. C3 2 s
  4. D2 3 s

Correct answer

D. 2 3 s

Step-by-step solution

Acceleration due to gravity g = GM R ² g_ p g_ e = M_ p M_ e ( R_ e R_ p )²=3 ( 1 3 )²= 1 3 Also T 1 g T _ p T _ e = g _ e g _ p = 3 T _ p =2 3 ~s

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