Physics-
General
Easy

Question

A thin wire of length L and uniform linear mass density rho is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis XX' is :

  1. fraction numerator rho L to the power of 3 end exponent over denominator 8 pi to the power of 2 end exponent end fraction    
  2. fraction numerator rho L to the power of 3 end exponent over denominator 16 pi to the power of 2 end exponent end fraction    
  3. fraction numerator 5 rho L to the power of 3 end exponent over denominator 16 pi to the power of 2 end exponent end fraction    
  4. fraction numerator 3 rho L to the power of 3 end exponent over denominator 8 pi to the power of 2 end exponent end fraction    

The correct answer is: fraction numerator 3 rho L to the power of 3 end exponent over denominator 8 pi to the power of 2 end exponent end fraction

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