Wave Optics

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:

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	Column I		Column II
(A)		(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)	\(I({P_2}) > I({P_1})\)