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(B) The pressure at a depth $h$ in a static fluid is given by the formula $P = P_0 + \rho gh$,where $P_0$ is the pressure at the surface,$\rho$ is the

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$P_B = P_C = P_D > P_A$

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(B) The pressure at a depth $h$ in a static fluid is given by the formula $P = P_0 + \rho gh$,where $P_0$ is the pressure at the surface,$\rho$ is the density of the fluid,and $g$ is the acceleration due to gravity.In a continuous static fluid,the pressure is the same at all points at the same horizontal level.Looking at the figure,points $B$,$C$,and $D$ are located at the same horizontal level within the continuous mercury column. Therefore,the pressures at these points are equal: $P_B = P_C = P_D$.Point $A$ is located at a higher vertical position than points $B$,$C$,and $D$. Since pressure decreases with height in a fluid column,the pressure at $A$ must be less than the pressure at the level of $B$,$C$,and $D$.Thus,the correct relationship is $P_B = P_C = P_D > P_A$.

Consider a mercury-filled tube as shown in the figure below. Which of the following options about the pressures at the lettered locations $(A, B, C, D)$ is true?

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