In the Young's doubleslit experiment using a monochromatic light of wavelength $$\lambda$$, the path difference (in terms of an integer n) corresponding to any point having half the peak intensity is
Young's double slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are $$\beta$$_{G}, $$\beta$$_{R} and $$\beta$$_{B}, respectively. Then,
A light ray travelling in glass medium is incident on glassair interface at an angle of incidence $$\theta$$. The reflected (R) and transmitted (T) intensities, both as function of $$\theta$$, are plotted. The correct sketch is
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$$. The thickness of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by $$\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)  (P)  $$\delta ({P_0}) = 0$$ 

(B)  $$(\mu1)t=\lambda/4$$ 
(Q)  $$\delta ({P_1}) = 0$$ 
(C)  $$(\mu1)t=\lambda/2$$ 
(R)  $$I({P_1}) = 0$$ 
(D)  $$(\mu1)t=3\lambda/4$$ 
(S)  $$I({P_0}) > I({P_1})$$ 
(T)  $$I({P_2}) > I({P_1})$$ 