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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 10cm to keep its length constant when its temperature is raised by `100^@C` is : (For steel Young's modulus is `2xx10^11 Nm^-2` and coefficient of thermal expansion is `1.1xx10^-5K^_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
`Y=(FL)/(A Delta l)=(P)/((DeltaL)/(L)) implies Y=(P)/(alpha Delta theta)`
`implies P=Y alpha Delta theta =2 xx 10^(11)xx1.1 xx 10^(-5)xx100`
`=2.2 xx 10^8` Pa.
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