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A bubble rises from the bottom of a pond to its surface by increasing its radius by 3 times its value when it was at the bottom. Calculate the depth of the pond. (Hint: Pressure depends on the depth of the pond. Volume is inversely related to pressure.) |
Answer» From Boyle’s law P x \(\frac{1}{v}\) (Pressure is inversely proportional to volume) Initial pressure P1 = Atmospheric pressure + Pressure of liquid column ∴ p1 = hpg + Hpg h = depth of the pond H = 10 m of water V1 = \(\frac{4}{3}\)πr3 P2 = Hpg V2 = \(\frac{4}{3}\) π(3r)3 = \(\frac{4}{3}\) x 27 r3 x π Hence by substituting these values, P1 V1 = P2 V2 |
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