JEE Advanced 2024 · Paper 2, Physics question 13

A spherical soap bubble inside an air chamber at pressure $P_0 = 10^5\,\mathrm{Pa}$ has a certain radius so that the excess pressure inside the bubble is $\Delta P = 144\,\mathrm{Pa}$. Now, the chamber pressure is reduced to $8P_0/27$ so that the bubble radius and its excess pressure change. In this process, all the temperatures remain unchanged. Assume air to be an ideal gas and the excess pressure $\Delta P$ in both the cases to be much smaller than the chamber pressure. The new excess pressure $\Delta P$ in Pa is _____.