A cart supports a cubic tank filed with a liquid up to the top. The cart moves with a constant acceleration a in the horizontal direction. The tank is tightly closed. Assume that the liquid when in motion with uniform acceleration. The pressure at a point at a depth h and distance I from the front wall is :

Options

A. dgh
B. dla
C. dgh+ dla
D. dgh - dla

Answer

C

Explanation

(c ) The pressure P at point x in the sum of pressure `P_1 and P_2 where P_1` is the pressure due to gravity and `P_2 is the pressure necessery to impart an acceleration a to the water of length l. Pressure `P_2` act on a columm of length l and area of cross- section gives it an acleration a in the horizontal direction.

`P_2A = Alda`
`P_2 = lda`
As pressure is a scalar quantity. So
`P = P_1 + P_2 = hdg + lda = d(hg + la)`