The difference in pressures in bulbs A and C having fluids of densities `rho_(1)` and `rho_(2)` when tube B is horizontal will be

Options

A. `(rho_(2)-rho_(1))gh`
B. `rho_(2)g(h_(2)+h_(3))-rho_(1)gh_(1)`
C. `rho_(2)g(h+h_(2))--rho-(1)g(h+h_(1))`
D. `(rho_(1)-rho_(2))gh`

Answer

D

Explanation

Let pressure at the junction of two liquids be p.
`p_(A)-p=rho_(1)gh` and `p_(C)-p=rho_(2)gh`
so, `P_(A)-P_(C)=(rho_(1)-rho_(2))gh`