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JEE Main20245 Apr 2024Morning ShiftPhysicsGravitationActual

A simple pendulum doing small oscillations at a place R height above earth surface has time period of T₁=4 ~s . T₂ would be it's time period if it is brought to a point which is at a height 2 R from earth surface. Choose the correct relation [R= radius of earth ] :

Options

  1. A2 ~T ₁= T ₂
  2. B2 ~T ₁=3 ~T ₂
  3. CT ₁= T ₂
  4. D3 ~T ₁=2 ~T ₂

Correct answer

D. 3 ~T ₁=2 ~T ₂

Step-by-step solution

aligned & T ₁=2 GM (2 R )^2 & ~T ₂=2 GM (3 R )^2 & T ₁ ~T ₂ = 2 3 aligned

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