Question

Consider two set up shown in diagram, liquid is ideal (surface tension and viscosity can be neglected). Choose correct option(s).

• A. $P_B-P_A = P_D-P_C$ i.e. pressure difference between corresponding points in two cases is same
• B. $P_B-P_A < P_D-P_C$
• C. $P_B-P_A > P_D-P_C$

Answer 1

Answer: (A)

$P_B-P_A = P_D-P_C$ i.e. pressure difference between corresponding points in two cases is same

Answer 2

The pressure difference between two points in a fluid at rest is given by $\Delta P = \rho g \Delta h$, where $\rho$ is the density of the fluid, $g$ is the acceleration due to gravity, and $\Delta h$ is the vertical distance between the two points. Since the vertical distances between A and B, and between C and D are the same, and the liquid is the same, the pressure difference $P_B - P_A$ is equal to $P_D - P_C$. The shape of the container does not affect hydrostatic pressure difference.