A thick rope of density p and length L is hung from a rigid support. The increase in lens of the rope due to its own weight is (Y is the Young's modulus).

A thick rope of density p and length L is hung from a rigid support. T

1.	A thick rope of density p and length L is hung from a rigid support. The increase in lens of the rope due to its own weight is (Y is the Young's modulus).
Answer» `1/(4Y)pL^(2)g` `1/(2Y)pL^(2)g` `(pL^(2)g)/Y` `(pLg)/Y` SOLUTION :As the weight of WIRE acts at CENTRE of gravity. `THEREFORE` Only half the length of wire gets extended. Now Y`=F/A.((L//2))/(Deltal)rArrDeltal=(ALpgL)/(2AY)` `thereforeDeltal=(pL^(2)g)/(2Y)` So the correct choice is (B).

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A thick rope of density p and length L is hung from a rigid support. The increase in lens of the rope due to its own weight is (Y is the Young's modulus).

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