The distance the wave traveled between the two-point is the path difference. The path difference will be 2200 nm and 3 orders of bright lines do this equal red light with a wavelength of 650 nm.
A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.
The equation of diffraction grating is given as
[tex]\rm n\lambda=dsin\phi\\\\\rm n\lambda=0.50\times10^{-3}\times sin(0.25) \\\\ n\rm \lambda=2.18\times10^{-6} \;m \\\\\rm n\lambda=2200\;nm[/tex]
Hence the path difference will be 2200 nm.
[tex]\rm n\lambda=2200\;nm \\\\\rm n\times650=2200 \\\\\rm n=3.38[/tex]
n= 3
Hence 3 orders of bright lines do this equal red light with a wavelength of 650 nm.
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