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A force of 200 N is applied at one end o...

A force of 200 N is applied at one end of a wire of length 2m and having area of cross-section `10^(-2) cm^(2)`. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire `alpha=8xx10^(-6)//.^(@)C` and Young's modulus `Y=2.2xx10^(11)N//m^(2)` and its temperature is increased by `5^(@)C`, then the increase in the tension of the wire will be

A

4.2 N

B

4.4 N

C

2.4 N

D

8.8 N

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Increase in tension of wire `=YA alpha Deltatheta`
`=8xx10^(-6)xx2.2xx10^(11)xx10^(-2)xx10^(-4)xx5=8.8 N`
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