The density of a uniform rod with cross-...

The density of a uniform rod with cross-section A is d, its specific heat capacity is c and the coefficient of its linear expansion is `alpha`. Calculate the amount of heat that should be added in order to increase the length of the rod by l.

`(alphaAcl)/d`

`(dcl)/(Aalpha)`

`(cl alphad)/A`

`(dAcl)/(alpha)`

Text Solution

Verified by Experts

The correct Answer is:

Let length of rod =L
and heat supplied `=DeltaQ` ltMbrgt `:. DeltaQ=McDeltaT`
alos `l=LalphaDeltaT" " , " " M=dLA`
`:. DeltaQ=Mcl/(alphaL)=(dAcl)/(alpha)`

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