IIT-JEE 2009 · Paper 2, Physics question 49

Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits $\mathrm S_1$ and $\mathrm S_2$. In each of these cases $\mathrm{S_1P_0}=\mathrm{S_2P_0}$, $\mathrm{S_1P_1}-\mathrm{S_2P_1}=\lambda/4$ and $\mathrm{S_1P_2}-\mathrm{S_2P_2}=\lambda/3$, where $\lambda$ is the wavelength of the light used. In the cases B, C and D, a transparent sheet of refractive index $\mu$ and thickness $t$ is pasted on slit $\mathrm S_2$. The thicknesses of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by $\delta(\mathrm P)$ and the intensity by $I(\mathrm P)$. Match each situation given in Column I with the statement(s) in Column II valid for that situation.