Physics-
General
Easy

Question

In the given figure, two elastic rods A & B are rigidly joined to end supports. A small block of mass ‘ m ‘ is moving with velocity v between the rods. All collisions are assumed to be elastic & the surface is given to be smooth. The time period of oscillations of small mass ‘ m ‘ will be: (A = area of cross section, Y = young’s modulus, L = length of each rod)

  1. fraction numerator 2 L over denominator v end fraction plus 2 pi square root of fraction numerator m L over denominator A Y end fraction end root    
  2. fraction numerator 2 L over denominator v end fraction plus 2 pi square root of fraction numerator 2 m L over denominator A Y end fraction end root    
  3. fraction numerator 2 L over denominator v end fraction plus pi square root of fraction numerator m L over denominator A Y end fraction end root    
  4. fraction numerator 2 L over denominator v end fraction    

The correct answer is: fraction numerator 2 L over denominator v end fraction plus 2 pi square root of fraction numerator m L over denominator A Y end fraction end root


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