Two vertical glass tibes filled with a liquid are connected at their lower ends by a horizontal capillary tube. One tube is surrounded by a bath containing ice and water at `0^(@)C` and the other by hot water a `t^(@)C`. The difference in the height of the liquid in the two columns is `Deltah`, and the height of the colume at `0^(@)C` is `h_(0)`. coefficient of volume expansion of the liquid is.

Options

A. `(Deltah).(h_(0)t)`
B. `(2Deltah)/(h_(0)t)`
C. `(2h_(0))/(Deltaht)`
D. `(h_(0))/(Deltaht)`

Answer

A

Explanation

In equilibrium,
Pressure at `A =` Pressure at `B`
`h_(0)rho_(0)g = (h_(0)+Deltah) (rho_(0))/(1+gammat)g rArr gamma = (Deltah)/(h_(0)t)`