In young's double slit experiment with slits of equal width, the slits are covered with sheets of transparent material having thickness $$1$$ mm and refractive index $$1.6$$ and thickness ‘t’ and refractive index $$1.4$$. If the central bright fringe is formed at the position where it was previously formed when the slits were un covered, find ‘t’.

Question

Infinity Learn · Accepted Answer

When the slits are covered, the net path difference between waves at the position of central bright fringe $$=t1$$μ$$1$$−$$1$$~$$t2$$μ$$2$$−$$1$$∴ $$t1$$μ$$1$$−$$1$$~$$t2$$μ$$2$$−$$1=0$$⇒$$t2=t1$$μ$$1$$−$$1$$μ$$2$$−$$1=f$$×$$1.6$$−$$11.4$$−$$1mm=1.5$$ mm

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