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In a YDSE, the separation between slits is `2 mm` where as the distance of screen from the plane of slits is `2.5 m`. Light of wavelengths in the range `200-800 nm` is allowed to fall on the slits. Find the wavelengths in the visible region that will be present on the screen at `1 mm` from central maximum. Also find the wavelength that will be present at that point of screen in the infrared as well as in the ultraviolet region.

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`d=2 mm, D=2.5 m, x=1 mm`
For present wavelengths, use condition of maxima
`y=(nDlambda)d`
`1xx10^(-3)=(nxx2.5lambda)/(2xx10^(-3))`
`lambda=2/2.5xx10^(-6)/n`
`=(0.8xx10^(-6))/nm`
`=800/n nm`
`n=1, lambda=800 nm`
`n=2, lambda=400 nm`
`n=3, lambda=800/3~=267 nm`
`n=4, lambda=200 nm`
Wavelength in infrared region`=800 nm`
Wavelength in ultraviolet region `=200 nm, 267 nm`
Wavelength in visible region `=400 nm`

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