MHT CET202410 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual
Two soap bubbles having radii ' r₁ ' and ' r₂ ' has inside pressure ' P ₁ ' and ' P ₂ ' respectively. If P ₀ is external pressure then ratio of their volume is
Options
- A( P ₁- P ₀ ) ( P ₂- P ₀ )
- B( P ₂- P ₀ ) ( P ₁- P ₀ )
- C( P ₂- P ₀ )^3 ( P ₁- P ₀ )^3
- D( P ₁- P ₀ )^3 ( P ₂- P ₀ )^3
Correct answer
C. ( P ₂- P ₀ )^3 ( P ₁- P ₀ )^3
Step-by-step solution
Excess pressure =P_i-P₀= 4 T R P_i-P₀ 1 R As per the equation, aligned & P₁-P₀ P₂-P₀ = r₂ r₁ & Volume = 4 3 R^3 Volume R^3 & V₁ V₂ = ( r₁ r₂ )^3= ( P₂-P₀ P₁-P₀ )^3 aligned