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))/(2rhoH)`
C. `(p_(0))/(2rhoH)`
D. `(rho_(0))/(2rhoH)+g`

Answer

C

Explanation

`p_(A)=rhoaH-rhogH=p_(B)`
Here `p_(A)=(p_(0))/2` and `p_(B)=p_(0)`
`:. -(p_(0))/2=rhogH=rhoaH`
`implies pH(a-g)=(p_(0))/2implies a=(p_(0))/(2rhoH)+g`