In a standard Young's double slit experiment with coherent light of wavelength $$600$$ nm, the fringe width of the fringes in the central region (near$$ the central fringe, $$P) is observed to be $$3$$ mm. An extremely thin glass plate is introduced in front of the first slit, and the fringes are observed to be displaced by $$11$$ mm. Another thin plate is placed before the second slit and it is observed that the fringes are now displaced by an additional $$12$$ mm. If the additional optical path lengths introduced are Δ$$1$$ and Δ$$2$$ then

Question

In a standard Young's double slit experiment with coherent light of wavelength $$600$$ nm, the fringe width of the fringes in the central region (near$$ the central fringe, $$P) is observed to be $$3$$ mm. An extremely thin glass plate is introduced in front of the first slit, and the fringes are observed to be displaced by $$11$$ mm. Another thin plate is placed before the second slit and it is observed that the fringes are now displaced by an additional $$12$$ mm. If the additional optical path lengths introduced are Δ$$1$$ and Δ$$2$$ then

Infinity Learn · Accepted Answer

$$S1=$$Δ$$1Dd=11$$×$$10$$−$$3$$ and $$S2=$$Δ$$2Dd=12$$×$$10$$−$$3$$⇒Δ$$1/$$Δ$$2=11/12$$ ⇒ $$12$$Δ$$1=11$$Δ$$2$$

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