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NEET2023PhysicsOscillationsActual

A simple pendulum oscillating in air has a period of 3 ~s . If it is completely immersed in non-viscous liquid, having density ( 1 4 )^ th of the material of the bob, the new period will be

Options

  1. A2 ~s
  2. B3 2 s
  3. C2 3 s
  4. D2 3 ~s

Correct answer

A. 2 ~s

Step-by-step solution

Time period of simple pendulum aligned & T=2 l g_ eff & 3 =2 l g aligned After immersed in liquid aligned & M g_ eff =M g- M g _s _l & M g_ eff =M g- M g 4 = 3 M g 4 & g_ eff = 3 g 4 & T₁=2 l 3 g = (2 I g ) 2 3 & T₁= 2 T 3 =2 ~s aligned

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