Question

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards the right. Pressure is
$\left(i\right)$ maximum at, and $\left(ii\right)$ minimum at

• A. $\left(i\right)B\left(ii\right)D$
• B. $\left(i\right)C\left(ii\right)D$
• C. $\left(i\right)B\left(ii\right)C$
• D. $\left(i\right)B\left(ii\right)A$

Answer 1

The correct option is A $\left(i\right)B\left(ii\right)D$

Horizontal variation of pressure is given by

$\frac{dp}{dx}=-\rho a$ (towards right)

i.e. in the direction of acceleration along horizontal, pressure will decrease.

$\therefore P_{AB}>P_{CD}$

Now, variation of pressure in vertical direction

$\frac{dp}{dy}=-\rho g$

i.e. in downward direction pressure will increase.

$\therefore P_{BC}>P_{AD}$

Hence, pressure at $B$ is maximum and pressure at $D$ is minimum.

Hence, option $\left(\text{A}\right)$ is correct.