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White light is used in a YDSE with D = 1...

White light is used in a YDSE with `D = 1 m` and `d = 0.9 mm`. Light reaching the screen at position `y = 1 mm` is passed through a prism and its spectrum is obtained. Find the missing lines in the visible region of this spectrum.

Text Solution

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`Deltap=(yd)/(D) =9xx10^(-4)xx1xx10^(-3) m =900 nm`
for minima `Deltap=(2n-1)lambda//2`
`rArr lambda=(2DeltaP)/((2n-1))=(1800)/((2n-1))`
`=(1800)/(1),(1800)/(3),(1800)/(5),(1800)/(7)……..`
of these `600 nm` and `360 nm` lie in the visible range. Hence these will be missing lines in the visible spectrum.
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