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A wire having Young's modulus 1.2xx10^(1...

A wire having Young's modulus `1.2xx10^(11) N//m^(2)` is subjected to the stress of `2.4xx10^(7) N//m^(2)`. If the length of the wire is 10m, the extension produced in it is

A

2mm

B

1mm

C

3mm

D

0.5mm

Text Solution

Verified by Experts

The correct Answer is:
A

Strain `= ("Stress")/(Y) = (2.4 xx 10^(7))/(1.2 xx 10^(11)) = 2 xx 1^(-4)`
`:. e = 10 xx 2 xx 10^(-4) = 2 xx 10^(-3) = 2mm`
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