Two identical soap bubbles each of radius r and of the same surface tension `T` combine to form a new soap bubble of radius `R`. The two bubbles contain air at the same temperature. If the atmospheric pressure is `p_(0)` then find the surface tension T of the soap solution in terms of `p_(0)`, r and `R`. Assume process is isothermal.

Answer

B, C, D

Explanation

`p_(1)V_(1)=p_(2)V_(2)`
`:.(p_(0)+(4T)/(r ))(2xx(4)/(3)pir^(3))= (p_(0)+(4T)/(R ))((4)/(3) pi R^(3))`
From here we can find expression of T.