Two spherical soap bubbles of radii r₁ and r₂ in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to :
Options

Question

Two spherical soap bubbles of radii r₁ and r₂ in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to :

G1 Physics · Accepted Answer

Step 1: For a soap bubble, Pint−Pout=4T/r. Under isothermal combination, total gas moles are conserved. Step 2: Using PV for both initial bubbles and the final bubble gives R²=r₁²+r₂², hence R=√(r₁²+r₂²). Final answer: C.