Physics-
General
Easy

Question

A ball is suspended by a thread of length l at the point O on the wall, forming a small angle proportional to with the vertical (figure) Then the thread with the ball was deviated through 2proportional to and set free. Assuming the collision of the ball against the wall to be perfectly elastic, find the oscillation period of such a pendulum.

  1. fraction numerator 4 over denominator 3 end fraction pi square root of fraction numerator l over denominator g end fraction end root    
  2. fraction numerator 2 over denominator 3 end fraction pi square root of fraction numerator l over denominator g end fraction end root    
  3. 2 pi square root of fraction numerator l over denominator g end fraction end root    
  4. None    

The correct answer is: fraction numerator 4 over denominator 3 end fraction pi square root of fraction numerator l over denominator g end fraction end root


    Time taken from equilibrium to fraction numerator A over denominator 2 end fraction is fraction numerator T over denominator 12 end fraction
    Total time =fraction numerator T over denominator 12 end fraction plus fraction numerator T over denominator 12 end fraction plus fraction numerator T over denominator 4 end fraction plus fraction numerator T over denominator 4 end fraction equals fraction numerator 4 over denominator 6 end fraction T
    therefore Time period = fraction numerator 4 pi over denominator 3 end fraction square root of fraction numerator l over denominator g end fraction end root

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