A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm . If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single soap bubble of radius r cm . The value of r is _____

Step-by-step solution

Pressure inside a bubble is given by, P 0 + 4 T r . Pressure inside the bubble of smaller radius will be, P 2 - P 1 = P 0 + 4 T 6 + 4 T 3 Pressure inside the bubble with radius r , P 0 + 4 T r Now, ⇒ P 0 + 4 T 6 + 4 T 3 = P 0 + 4 T r ⇒ 1 r = 1 6 + 1 3 ⇒ r = 2   cm