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Question

The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at $\mathrm{A}$ is $1.5 \mathrm{~cm}^{2}$, and $\mathrm{B}$ is $25 \mathrm{~mm}^{2}$, if the speed of liquid at $\mathrm{B}$ is $60 \mathrm{~cm} / \mathrm{s}$ then $\left(\mathrm{P}_{\mathrm{A}}-\mathrm{P}_{\mathrm{B}}\right)$ is :

(Given $\mathrm{P}_{\mathrm{A}}$ and $\mathrm{P}_{\mathrm{B}}$ are liquid pressures at $\mathrm{A}$ and $\mathrm{B}$% points.

density $\rho=1000 \mathrm{~kg} \mathrm{~m}^{-3}$

$\mathrm{A}$ and $\mathrm{B}$ are on the axis of tube

$27 \mathrm{~Pa}$
$175 \mathrm{~Pa}$
$135 \mathrm{~Pa}$
$36 \mathrm{~Pa}$

Solution

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