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

Answer

B

Explanation

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