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The pressure that has to be applied to t...

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 themal expansion is `1.1 xx 10^(-5)K^(-1))`

A

`2.2xx10^(6) Pa`

B

`2.2 xx10^(8) Pa`

C

`2.2 xx10^(9) Pa`

D

`2.2 xx10^(7) Pa`

Text Solution

Verified by Experts

The correct Answer is:
B
`0.10 xx1.1xx10^(-5) xx100 =((F)/(A))/(2xx10^(11))xx0.10`

`therefore (F)/(A)=" Pressure "=1.1xx10^(-5)xx100xx2xx10^(11)`
`=2.2xx10^(8) pa`
So correct choice is (b).
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