The coefficient of apparent expansion of a liquid when determined using two different vessels A and B are γ1 and γ2 respectively. If the coefficient of linear expansion of vessel A is α, the coefficient of linear expansion of vessel B is
γ1−γ23+α
We know that, coefficient of real expansion of a liquid = coefficient of apparent expansion of the liquid + coefficient of volume expansion of the vessel
⇒γr=γa+γv=γa+3αv
For vessel A: γr=γ1+3α1=γ1+3α (∵α1=α)
For vessel B: γr=γ2+3α2
Since the liquid is the same, γr is same.
Hence, γ1+3α=γ2+3α2
⇒α2=γ1−γ23+α, which is choice (d).