Physics-
General
Easy

Question

A smooth semicircular tube AB of radius r is fixed in a vertical plane and contains a heavy flexible chain of length pi r and weight per unit length 'w' as shown. Assuming a slight disturbance to start the chain. in motion, the velocity v with which it will emerge from the open end B of the tube is

  1. fraction numerator 4 g r over denominator pi end fraction    
  2. fraction numerator 2 g r over denominator pi end fraction    
  3. square root of 2 g r open parentheses fraction numerator 2 over denominator pi end fraction plus pi close parentheses end root    
  4. square root of 2 g r open parentheses fraction numerator 2 over denominator pi end fraction plus fraction numerator pi over denominator 2 end fraction close parentheses end root    

The correct answer is: square root of 2 g r open parentheses fraction numerator 2 over denominator pi end fraction plus fraction numerator pi over denominator 2 end fraction close parentheses end root

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