Column $I$ shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits $S_1$ and $S_2$. In each of these cases $S_1 P_0 = S_2 P_0$,$S_1 P_1 - S_2 P_1 = \lambda / 4$ and $S_1 P_2 - S_2 P_2 = \lambda / 3$,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 $S_2$. 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 $\delta(P)$ and the intensity by $I(P)$. Match each situation given in Column $I$ with the statement$(s)$ in Column $II$ valid for that situation.
Column $I$Column $II$
$(A)$ No sheet$(p)$ $\delta(P_0) = 0$
$(B)$ $(\mu-1)t = \lambda / 4$$(q)$ $\delta(P_1) = 0$
$(C)$ $(\mu-1)t = \lambda / 2$$(r)$ $I(P_1) = 0$
$(D)$ $(\mu-1)t = 3\lambda / 4$$(s)$ $I(P_0) > I(P_1)$
$(t)$ $I(P_2) > I(P_1)$

  • A
    $A-p, q; B-q; C-r; D-r, q, t$
  • B
    $A-p, s; B-q; C-t; D-r, s, t$
  • C
    $A-p, t; B-s; C-p; D-r, s, q$
  • D
    $A-q, s; B-p; C-s; D-r, q, s$

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