MHT CET202311 May 2023Evening ShiftPhysicsMechanical Properties of FluidsActual
What should be the diameter of a soap bubble, in order that the excess pressure inside it is 25.6 Nm ⁻² ? [surface tension of soap solution .=3.2 10⁻² Nm ⁻² ]
Options
- A2 ~cm
- B1.5 ~cm
- C1 ~cm
- D0.5 ~cm
Correct answer
C. 1 ~cm
Step-by-step solution
The formula for excess pressure inside the bubble is given as P₀= 4 T R Where, T is surface tension and R is the radius of the sphere Rearranging the formula for R and substituting the values, aligned & R= 4 T P₀ & R= 4 3.2 10⁻² 25.6 & R=0.5 10⁻² ~m =0.5 ~cm aligned The diameter then becomes, 2 R =1 ~cm