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A wire elongates by l mm when a load W i...

A wire elongates by l mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)

A

1

B

2 1

C

zero

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Let us consider the length of wire as L and cross-sectional area A, the material of wire has Young’s modulus as Y.

Then, for `1^(st) "case",Y=(W//A)/(l//L)`
For `2^(nd) "case" , " " Y=(W//A)/(2l'//L)rArrl=(l)/(2)`
So, total elongation of both sides `=2l=1`
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