Physics-
General
Easy

Question

A small object of uniform density roll up a curved surface with an initial velocity v. If reaches up to a maximum height of fraction numerator 3 v to the power of 2 end exponent over denominator 4 g end fraction with respect to the initial position. The object is

  1. Ring    
  2. Solid sphere    
  3. Hollow sphere    
  4. Disc    

The correct answer is: Disc


    fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent equals fraction numerator 1 over denominator 2 end fraction I open parentheses fraction numerator v over denominator R end fraction close parentheses to the power of 2 end exponent equals m g open parentheses fraction numerator 3 v to the power of 2 end exponent over denominator 4 g end fraction close parentheses
    therefore I equals fraction numerator 1 over denominator 2 end fraction m R to the power of 2 end exponent
    therefore Body is disc.

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