Physics-
General
Easy

Question

In the figure, the block of mass m, attached to the spring of stiffness k is in contact with the completely elastic wall, and the compression in the spring is 'e'. The spring is compressed further by 'e' by displacing the block towards left and is then released. If the collision between the block and the wall is completely elastic then the time period of oscillations of the block will be:

  1. fraction numerator 2 pi over denominator 3 end fraction square root of fraction numerator m over denominator k end fraction end root    
  2. 2 pi square root of fraction numerator m over denominator k end fraction end root    
  3. fraction numerator pi over denominator 3 end fraction square root of fraction numerator m over denominator k end fraction end root    
  4. fraction numerator pi over denominator 6 end fraction square root of fraction numerator m over denominator k end fraction end root    

The correct answer is: fraction numerator 2 pi over denominator 3 end fraction square root of fraction numerator m over denominator k end fraction end root

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