Question

A container filled with a liquid of density of $\rho$ is accelerated upwards with $\alpha$ . The difference in pressure between the two points $A$ and $B$ separated by a vertical distance $h$ is :

• A. $\rho (g-\alpha )h$
• B. $\rho (g+\alpha )h$
• C. $\rho gh$
• D. $\rho ah$

Answer 1

The correct option is B $\rho (g+\alpha )h$

As the container is going upwards, the effective value of $g^{\prime }=g+\alpha$.

So the pressure between the two points will be given as,

$P_B-P_A=\left(h_o+h\right)\rho \left(g+\alpha \right)-h_o\rho \left(g+\alpha \right)$

$=h\rho \left(g+\alpha \right)$