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A thick rope of density p and length L is hung from a rigid support. The Young's modulus of the material of rope is Y. The in crease in length of the rope due to it sown weigh tis

  1. left parenthesis 1 divided by 4 right parenthesis rho g L to the power of 2 end exponent divided by Y    
  2. left parenthesis 1 divided by 2 right parenthesis rho g L to the power of 2 end exponent divided by Y    
  3. rho g L to the power of 2 end exponent divided by Y    
  4. rho g L divided by Y    

The correct answer is: left parenthesis 1 divided by 2 right parenthesis rho g L to the power of 2 end exponent divided by Y

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