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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.
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B
Along a horizontal line within the liquid, as we move from left to right, the pressure decreases
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C
The pressure at all the points on a line making an angle of tan1(ag) with horizontal would be same
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D
Along a horizontal line within the liquid, as we move from left to right, the pressure remains the same
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Solution

The correct option is C The pressure at all the points on a line making an angle of tan1(ag) 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 P1P2=ρal [ρ= density of liquid]
Hence, maximum pressure will be at the leftmost bottom point.

Liquid surface will be inclined at an angle θ to the horiontal such that
tanθ=ag (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.

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