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A Steel rod of length 25 cm has a cross ...

A Steel rod of length 25 cm 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 (coefficient of linear expansion of steel is `10^(-5)//^(@)C` and Young's modulus of steel is `2xx10^(10)N//m^(2)`).................... .

A

(a) 40 N

B

(b) 80 N

C

(c) 120 N

D

(d) 160 N

Text Solution

Verified by Experts

The correct Answer is:
d
The required force is given by
`F=YA alpha Deltat=2xx10^(10)xx0.8xx10^(-4)xx10^(-5)xx10`
`F=160N`
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