1.

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

V\(\frac{4}{3}\)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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