For the `L`-shaped vessel shown in the figure, determine the value of acceleration a so that pressure at point `A` becomes equal to `p_(0)//2`? (`p_(0)` is the atmospheric pressure)

Options

A. ` g `
B. ` (g )/(2) + (P _ 0 ) /( 2 rho H ) `
C. ` (P _ 0 ) /(2 rho H ) + g `
D. ` (3P _ 0 ) /(2 rho H ) + g `

Answer

C

Explanation

` rArr P_C - P_A = rho aH `
` rArr P _ 0 + rho gH - (P_0 )/( 2 ) = rho aH `
`rArr a = ((P_0)/( 2 rho H ) + g ) `