Question

An air bubble of volume V₀ is released by a fish at a depth h in a lake. The bubble rises to the surface. Assume constant temperature and standard atmospheric pressure P above the lake. The volume of the bubble just before touching the surface will be (density of water is ρ)

(a) V₀

(b) V₀(ρ gh/p)

(c) V₀/(1+ρgh/p) 

(d) V₀(1+ρgh/p)

Answer 1

Correct option  (d) V₀(1+ ρgh/p)

Explanation:

According to Boyle’s law multiplication of pressure and volume will remains constant at the bottom and top. If P is the atmospheric pressure at the top of the lake and the volume of bubble is V then from