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What is the percentage increase in lengt...

What is the percentage increase in length of a wire of diameter 2.5 mm, stretched by a force of 100 kg wt ? Young's modulus of elasticity of wire `=12.5xx10^(11) dyn e//cm^(2)`.

A

`0.16%`

B

`0.32%`

C

`0.08%`

D

`0.12%`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `2 r =2.5 mm = 0.25 cm`
or `r=0.125 cm`
`F=100 kg f=100xx1000 gf`
`=100xx1000xx9890 dyn e`
As, `=(F)/(A)xx(l)/(Delta l)`
or `(Delta l)/(l) =(F)/(AY)`
`:. %` increase in length `=(Delta l)/(l)xx10 =(F)/(AY)xx100`
`=((100xx1000xx9890)xx100)/((22//7)(0.125)^(2)xx12.5xx10^(11)) =0.16%`
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