First slide

Pressure in a fluid-mechanical properties of fluids

Question

Radius of an air bubble at the bottom of the lake is r and it becomes 2r when the air bubbles rises to the top surface of the lake. If P cm of water be the atmospheric pressure, then the depth of the lake is

Moderate

A

2p
B

8p
C

4p
D

7p

Solution

$P_{1} V_{1} = P_{2} V_{2} (P + H) \frac{4 {πr}^{3}}{3} = P \frac{4 π {(2 r)}^{3}}{3} P + H = 8 P H = 7 P$

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