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An air bubble is at a depth h below the free surface of water. If pressure inside the bubble is three times that of atmospheric pressure (P0). The radius of the bubble is given by [ρ = density of water, T = surface tension]

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a

3TP0−ρgh

b

2TP0−2ρgh

c

3T3P0−2ρgh

d

2T2P0−ρgh

answer is D.

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P0+hρh+2Tr=3P0⇒r=2T2P0−ρgh

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An air bubble is at a depth h below the free surface of water. If pressure inside the bubble is three times that of atmospheric pressure (P0). The radius of the bubble is given by [ρ = density of water, T = surface tension]