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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

`l`

B

`2l`

C

zero

D

`l//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 `1st` case `Y = (W//A)/(l//L)`
For `2nd` case, `Y = (W//A)/(2l//L)`
`:. l' = l//2`
So, total elongation of both sides `= 2l' = l`
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