When a liquid is heated in a copper vessel its coefficient of apparent expansion is `6 xx 10^-6//^@C`. When the same liquid is heated in a steel vessel its coefficient of apparent expansion is `24 xx 10^-6 //^@c`. If coefficient of linear expansion for copper is `18 xx10^-6 //^@c`, the coefficient of linear expansion for steel is

Options

A. `20 xx10^-6 //^@c`
B. `24 xx10^-6 //^@c`
C. `36 xx10^-6 //^@c`
D. `12 xx10^-6 //^@c`

Answer

D

Explanation

`gamma a_(1) + 3alpha_(1)= gammaa_(1) + 3alpha_(2)`
`6xx10^(-6)+3(18xx10^(-6))=24xx10^(-6)xx3propto_(2)`
`therefore propto_(2)=1.2xx10^(-5)=12xx10^(-6)//C`