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  4. A closed rectangular vessel completely filled with a liquid of density ρ moves with an acceleration a=g. The value of the pressure difference at point A and B i.e., (P1-P2) is

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Q. A closed rectangular vessel completely filled with a liquid of density $\rho$ moves with an acceleration $a=g$. The value of the pressure difference at point $A$ and $B$ i.e., $\left(P_{1}-P_{2}\right)$ isPhysics Question Image

Mechanical Properties of Fluids

Solution:

Let pressure at the opening be $P_{0}$. Then,
$P_{1}=P_{0}+\rho g b$ while $P_{2}=P_{0}+\rho g h .$
image
Subtracting, $P_{1}-P_{2}=\rho g(b-h)$