Momentum and CollisionHard

Question

A liquid of density r is filled in a U-tube, whose one end is open & at the other end a bulb is fitted whose pressure is PA. Now this tube is moved horizontally with acceleration ′a′ as shown in the figure. During motion it is found that liquid in both column is at same level at equilibrium. If atmospheric pressure id P0′ then value of PA is

Options

A.ρal
B.ρgl
C.P0 - ρal
D.P0 + ρal

Solution

Consider a point B at the horizontal portion of tube, pressure from both side should be same.
∴ P0 + ρgh = PA + ρgh + ρal , PA = P0 - ρal

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