The spectral order of 9 is seen on the screen.
What is diffraction grating?
The clarity of the pattern is enhanced and the maxima narrow as the number of slits in an obstacle increases. Diffraction gratings are objects with a lot of slits—say, more than 20 to the millimeter. In the late eighteenth century, Fraunhofer created the first of these, which were made of fine silver wire strung on two parallel screws and provided 30 impediments per millimeter.
The equation we have in interference and diffraction pattern is
Y = mLR/d
d sinθ = mL
Where,
L = wavelength
m = order = 1,2,3,4 (for bright bands)
m = 1.5, 2.5, 3.5, 4.5 (for dark bands)
R = resistance from slit to screen
Y = distance from central spot to [tex]n^{th}[/tex] order fringe.
Applying values in d sinθ = mL
d = 1/1850 = 5.405μm
θ = 90
So, m = 5.405 μm/594 nm
m = 9.099 = 9.
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