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The pressure that has to be applied to...

The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by `100^(@)C`is :
(For steel Young's modulus is `2 xx 10^(11)N m^(-2)` and coefficient of thermal expansion is`1.1 xx 10^(-5) K^(-1)`)

A

`2.2 xx 10^(8)Pa`

B

`2.2 xx 10^(9)Pa`

C

`2.2 xx 10^(7)Pa`

D

`2.2 xx 10^(6)Pa`

Text Solution

Verified by Experts

The correct Answer is:
A
`(P)/(alphaDeltatheta) = Y`
`P = Yalpha Deltatheta = 2 xx 10^(11) xx 1.1 xx 10^(-5) xx 100`
`=n 2.2 xx 10^(8) Pa`
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