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A bubble of air released by a diver at t...

A bubble of air released by a diver at the bottom of a pool of water become large as it approaches the surface of the water . Assume the temperature is constant and select the true statement. The pressure inside the bubble is

A

greater near the bottom of the water

B

greater near the top of the water

C

same at all depths

D

cannot be determined from the given data

Text Solution

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The correct Answer is:
To solve the question regarding the behavior of a bubble of air released by a diver at the bottom of a pool of water, we will analyze the situation step by step. ### Step 1: Understand the Scenario When a bubble is released at the bottom of a pool, it is subjected to the pressure of the water above it. The pressure at a certain depth in a fluid can be calculated using the formula: \[ P = P_0 + \rho g h \] where: - \( P \) is the total pressure at depth, - \( P_0 \) is the atmospheric pressure, - \( \rho \) is the density of the fluid (water in this case), - \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)), - \( h \) is the depth of the fluid above the bubble.
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