Question

A liquid is filled in an open vessel and vessel is accelerated horizontally with a constant acceleration $a$. Choose the correct statements for the given situation.

• A. The maximum pressure is at the leftmost bottom corner.
• B. Along a horizontal line within the liquid, as we move from left to right, the pressure decreases
• C. The pressure at all the points on a line making an angle of ${\tan }^{-1}\left(\frac{a}{g}\right)$ with horizontal would be same
• D. Along a horizontal line within the liquid, as we move from left to right, the pressure remains the same

Answer 1

Answer: (A), (B), (C)

The pressure at all the points on a line making an angle of ${\tan }^{-1}\left(\frac{a}{g}\right)$ with horizontal would be same


In an accelerated fluid, pressure decreases in the direction of acceleration. Also, pressure decreses with depth below the surface of liquid.
i.e $P_1-P_2=\rho al$ [$\rho =$ density of liquid]
Hence, maximum pressure will be at the leftmost bottom point.

Liquid surface will be inclined at an angle $\theta$ to the horiontal such that
$\tan \theta =\frac{a}{g}$ (inclination of liquid surface.
These are equipressure lines. Therefore, at all points on the line, pressure will be same.
Options (a), (b) and (c) are correct.