A sealed tank containing a liquid of density `rho` moves with a horizontal acceleration a, as shown in the figure. The difference in pressure between the points A and B is

Options

A. ` h rho g `
B. `L rho a `
C. ` h rhog - L rho a `
D. `hrho g + L rho a `

Answer

D

Explanation

` P _ C- P _ A = rho aL ` also ` P_B - P_C = rho gh or P_B - (P_A + rho aL ) rho gh or P_B - P_A = h rho g + rho L a `