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A cylinder of length l and radius r is h...

A cylinder of length `l` and radius `r` is heated to temperature `T`. A longitudeinal compressive force `F` is applied on cylinder to keep its length same. Find coefficient of volume expansion.

A

`3F//(pir^(2)YT)`

B

`6F//(pir^(2)YT)`

C

`F//(3pir^(2)YT)`

D

`9F//(pir^(2)YT)`

Text Solution

Verified by Experts

The correct Answer is:
A
Strain `=(DeltaL)/L=(alphaL Delta theta)/L`
`H=F/(A alpha Delta theta)impliesalpoha=F/(Ypi r^(2)T)`
`(Y=(3F)/(Ypir^(2)T))`
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