Shifting of Fringe Pattern in YDSE
Category : JEE Main & Advanced
If a transparent thin film of mica or glass is put in the path of one of the waves, then the whole fringe pattern gets shifted towards the slit in front of which glass plate is placed.
(1) \[\text{Fringe shift}=\frac{D}{d}(\mu -1)\,t=\frac{\beta }{\lambda }(\mu -1)\,t\]
(2) Additional path difference\[=(\mu -1)t\]
(3) If shift is equivalent to n fringes then \[n=\frac{(\mu -1)\,t}{\lambda }\] or \[t=\frac{n\lambda }{(\mu -1)}\]
(4) Shift is independent of the order of fringe (i.e. shift of zero order maxima = shift of nth order maxima.
(5) Shift is independent of wavelength.
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