A parallel beam of light of wavelength greater than $$3500$$ Å falls on a double slit in a Young’s double slit experiment. It is found that wavelengths $$4000$$ Å and $$6000$$ Å produce maxima simultaneously at a distance of $$32mm$$ from the position of central maximum and the order of the interference at this point for the two wavelengths differs by $$8$$. If the distance between the slit and the screen is $$1m$$, the separation between the two slits is

Question

A parallel beam of light of wavelength greater than $$3500$$ Å falls on a double slit in a Young’s double slit experiment. It is found that wavelengths $$4000$$ Å and $$6000$$ Å produce maxima simultaneously  at a distance of $$32mm$$ from the position of central maximum and the order of the interference at this point for the two wavelengths differs by $$8$$. If the distance between the slit and the screen is $$1m$$, the separation between the two slits is

Infinity Learn · Accepted Answer

if both maxima are produced simultaneously and their order no differs by eight then   n x $$6000$$ $$=$$ (n+8) $$4000$$     $$n=16$$  hence position of $$16$$ th maxima of $$6000A0$$ i.e $$16$$ β from the central maxima  β$$=$$λ$$Dd166$$×$$10-7$$ $$Dd=32$$×$$10-3$$ $$d=3$$×$$10-4$$ $$m=0.3$$ mm

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