Two soap bubbles of radii x and y coalesce to constitute a bubble of radius z. Then z is equal to

Step-by-step solution

n = n 1 + n 2 p V = p 1 V 1 + p 2 V 2 p 1 = p 0 + 4 T x , p 2 = p 0 + 4 T y , p = p 0 + 4 T z If the process takes place is vacuum then p 0 = 0 p 1 = 4 T x , p 2 = 4 T y , p = 4 T z If process is isothermal ∴ p 1 V 1 + p 2 V 2 = p V ∴ z = x 2 + y 2