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A steel wire of cross-sectional area 0.5...

A steel wire of cross-sectional area `0.5mm^2` is held between two fixed supports. If the wire is just taut at `20^@C`, determine the tension when the temperature falls to `0^@C`. Coefficient of linear expansion of steel is `1.2 xx 10^(-5 @)C(-1)` and its Young's modulus is `2.0 xx 10^11 N m^(-2)`.

A

1200 N

B

2400 N

C

4800 N

D

9600 N

Text Solution

Verified by Experts

The correct Answer is:
D
`F=yA prop Delta T`
`=2xx10^(11) xx 4xx10^(-4) xx 12xx10^(-6) xx 10=9600N`.
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