The apparent coefficient of expansion of liquid, when heated in a copper vessel is `C` and when heated in a silver vessel is `S`. If `A` is the linear coefficient of expansion of Copper, linear expansion coefficient of silver is

Options

A. `(C+S-3A)/3`
B. `(C-S-3A)/3`
C. `(S+3A-C)/3`
D. `(C+S+3A)/3`

Answer

B

Explanation

`gamma_(r)= gamma_(a)+ gamma_(v)'` where `gamma_(r)` = coefficeent of real expension,
`gamma_(a)` = coefficient of apparent expparent expansion and
`gamma_(v)` = coefficient of expansion of vessel.
For copper, `gamma_(r)= C+3alpha_(Cu)=C+3A`
For silver, `gamma_(r)= C+3alpha_(Ag)=(C-S+3A)/3`
`rArr C+3A = S+3alpha_(Ag)rArralpha_(Ag)=(C-S+3A)/3`