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Question

Question: If the atmospheric pressure is \(P_a\), then the pressure \(P\) at depth \(h\) below the surface of ...

If the atmospheric pressure is PaP_a, then the pressure PP at depth hh below the surface of a liquid of density ρ\rho open to the atmosphere is

A

PaPgh2P_a - \frac{Pgh}{2}

B

PaρghP_a - \rho gh

C

PaP_a

D

Pa+ρghP_a + \rho gh

Answer

Option (4)

Explanation

Solution

The pressure at a depth hh in a liquid open to the atmosphere is given by the formula:

P=Pa+ρghP = P_a + \rho g h

Thus, the correct option is (4).

Pressure increases by the hydrostatic pressure ρgh\rho g h below atmospheric pressure.