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MHT CET 2024 (9 May, Shift 1) · Pressure in a Fluid

Pressure in a Fluid question from MHT CET 2024 (9 May, Shift 1)

Q10MHT CET 2024 · 9 MAY · SHIFT 1Medium

Pressure in a Fluid

When an air bubble rises from the bottom of lake to the surface, its radius is doubled. The atmospheric pressure is equal to that of a column of water of height ' $H$ '. The depth of the lake is

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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) 7 H.

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