BITSAT2024PhysicsMechanical Properties of FluidsActual

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :

Options

A4: 1
B0.8: 1
C8: 1
D2: 1

Correct answer

C. 8: 1

Step-by-step solution

According to question, pressure inside, 1st soap bubble, P₁=P₁-P₀=0.01= 4 T R₁ .....(i) And P₂=P₂-P₀=0.02= 4 T R₂ .....(ii) Dividing, equation (ii) by (i), 1 2 = R₂ R₁ R₁=2 R₂ Volume V= 4 3 R^3 V₁ V₂ = R₁^3 R₂^3 = 8 R₂^3 R₂^3 = 8 1

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