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

`{:(y_(a)=y_(r)-y_(c)),(C=y_(R)-3A),(S=y_(R)-3alpha_(s)),(C-S=3alpha_(s)-3A):}`
`alpha_(s)=(C-S+3A)/(3)`