Pressure inside two soap bubbles are 1.01 and 1.02 atmospheres. Ratio between their volumes is
102 : 101
(102)3 : (101)3
8 : 1
2 : 1
Outside pressure = 1 atm
Pressure inside first bubble = 1.01 atm
Pressure inside second bubble = 1.02 atm
Excess pressure ∆P1 = 1.01-1 = 0.01 atm
Excess pressure ∆P2 = 1.02 -1 = 0.02 atm
∆P ∞ 1r ⇒ r = 1∆P ⇒r1r2= ∆P2∆P1 = 0.020.01 = 21
Since V = 43πr3 V1V2 = (r1r2)3 = (21)3 = 81