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Question

The moment of inertia of a body is I and its coefficient of linear expansion is  if temperature of body rises by a small amount T. Then change in moment of inertia about the same axis –

  1.  I T  
  2. 2  I T  
  3. 4  I T  
  4. fraction numerator alpha I capital delta T over denominator 2 end fraction  

The correct answer is: 2  I T


    Let I = mr2
    fraction numerator capital delta I over denominator I end fraction=fraction numerator 2 capital delta r over denominator r end fraction= 2 T
    or table row cell capital delta I equals 2 alpha I capital delta T end cell end table

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