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MHT CET 2019 (3 May, Shift 1) · Pressure in a Fluid

Pressure in a Fluid question from MHT CET 2019 (3 May, Shift 1)

Q23MHT CET 2019 · 3 MAY · SHIFT 1Medium

Pressure in a Fluid

When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height $H$ of a certain water column, then the depth of lake will be

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Answer: (c)

Radius doubles, so volume becomes 8 times. Boyle's law: $P_1V = P_2(8V)$ .
In water-column units: $H + h = 8H$
$h = 7H$
So the answer is (c) 7H.

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