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A steel wire of length 1m, and radius 0....

A steel wire of length 1m, and radius 0.1mm is elongated by 1mm due to a weight of 3.14kg. If `g = 10 m//s^(2)`, the Young's modulus of the steel wire will be

A

`8 xx 10^(11) N//m^(2)`

B

`10^(12) N//m^(2)`

C

`4 xx 10^(11) N//m^(2)`

D

`5 xx 10^(11) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Y = (MgL)/(pi r^(2) e)`
`= (3.14 xx 10 xx 1)/(3.14 xx (10^(-4))^(2) xx 10^(-3)) = 10^(12) N//m^(2)`
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