MHT CET202314 May 2023Evening ShiftPhysicsMechanical Properties of FluidsActual
Two spherical soap bubbles of radii ' a ' and ' b ' in vacuum coalesce under isothermal conditions. The resulting bubble has a radius equal to
Options
- Aa+b
- Ba+b 2
- Ca^2+b^2
- Da+b ab
Correct answer
C. a^2+b^2
Step-by-step solution
Number of moles is conserved, so P ₁ ~V ₁+ P ₂ ~V ₂= P ₃ ~V But, P = 4 ~T r where, r is the radius of the bubble aligned & 4 ~T a ( 4 3 a ^3 )+ 4 ~T ~b ( 4 3 b ^3 )= 4 ~T c ( 4 3 c ^3 ) & a ^2+ b ^2= c ^2 & c = a ^2+ b ^2 aligned