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Question

Physics Question on Ideal gas equation

An air bubble having volume 1 cm3 at depth 40 m inside water comes to the surface. What will be the volume of the bubble at the surface?

A

5 cm3

B

2 cm3

C

4 cm3

D

3 cm3

Answer

5 cm3

Explanation

Solution

The correct option is (A): 5 cm3
Initial pressure = P0 + ρgh
= 105 + 1000 × 10 × 40
= 5 × 105
Final pressure = 105
PV = constant
⇒ 5 × 105 × Vi = 105 × Vf
⇒ Vf = 5 cm3