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A force of 20 N is applied at one end of...

A force of 20 N is applied at one end of a wire of length 2 m having area of cross-section `10^(-2) cm^(2)`. The other end of the wire is rigidly fixed. If coefficient of linear ezpanison of the wire `alpha = 8 xx 10^(-6) .^(@)C^(-1)` and Young's modulus `Y = 22 xx 10^(11) Nm^(-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

increases in tension of wire `= Y A alpha Delta theta`
`= 8 xx 10^(-6) xx 2.2 xx 10^(11) xx 10^(-2) xx 10^(-4) xx 5= 8.8 N`
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