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The value of coefficient of volume expan...

The value of coefficient of volume expansion of glycerin is `5 xx 10^(-4) K^(-1)`. The fractional change in the density of glycerin for a rise of `40^(@)C` in its temperature is

A

0.02

B

0.025

C

0.01

D

0.015

Text Solution

Verified by Experts

The correct Answer is:
A
`gamma=5xx10^9-4) k^(-1)`
`rho=rho_0(1-gamma Delta T) implies rho = rho_0-rho_0 gamma Delta T`
`implies gamma Delta T=(rho_0-rho)/(rho_0) implies (rho_0-rho)/(rho_0)=5xx10^(-4)xx40` = 0.020
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