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JEE Main202131 Aug 2021Evening ShiftPhysicsOscillationsActual

A bob of mass m suspended by a thread of length ℓ undergoes simple harmonic oscillations with time period T . If the bob is immersed in a liquid that has density 1 4 times that of the bob and the length of the thread is increased by 1 3 r d of the original length, then the time period of the simple harmonic oscillations will be:

Options

  1. A3 4 T
  2. B4 3 T
  3. CT
  4. D3 2 T

Correct answer

B. 4 3 T

Step-by-step solution

T = 2 π ℓ g g e f f = g - g 4 = 3 g 4    ∴   T ' = 2 π 4 ℓ / 3 3 g / 4 = 2 π 16 ℓ 9 g T ' = 4 3   T

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