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A steel rod of length 25cm has a cross-s...

A steel rod of length `25cm` has a cross-sectional area of `0.8cm^(2)` . The force required to stretch this rod by the same amount as the expansion produced by heating it through `10^(@)C` is `(alpha_(steel)=10^(-5)//^(@)C` and `Y_(steel)=2xx10^(10)N//m^(2))`

A

40N

B

80N

C

120N

D

160N

Text Solution

Verified by Experts

The correct Answer is:
D
`F=yA prop Delta T`
`=2xx10^(10) xx 0.8 xx 10^(-4) xx 10^(-5) xx 10=160N`.
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