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The density of a liquid of coefficient o...

The density of a liquid of coefficient of cubical expansion `gamma` is `rho` at `0^(@)C` when the liquid is heated to a temp `T`, the change in density will be

A

`(-rhogammaT)/(1 + gammaT)`

B

`(rhogammaT)/(1 + gammaT)`

C

`-(1 + gammaT)/(gammaT)`

D

`gamma(1 + gammaT)/(gammaT)`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho - rho_(t) = gammarho_(t)T , rho - rho_(t) = (gammaTrho)/((1 + gammaT))`
When temperature increases density decreases
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