A liquid when heated in a copper vessel and when heated in a silver vessel, the apparent coefficient of expansion is C and S, repsctively. If coefficients of linear expansion of copper is A, then coefficient of linear expansion of silver is

Options

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

Answer

B

Explanation

According to relation, Coefficient of apparent expansion = coefficient of real expansion - coefficient of volume expansion
`C= gamma_(r)- 3A` …(i)
Similarly, `S= gamma_(r )- 3A_(0)` …(ii)
where `A_(0)`= linear expansion of coefficient of silver
On subtracting Eq (i) from Eq (ii), `S- C= - 3A_(0) + 3A`
`therefore A_(0)= ((3A + C-S)/(3))`