A source produces first-order lines when incident normally on a 9000 slits/cm diffraction grating at angles θ1 = 28.8°, θ1 = 36.7°, θ1 = 38.6°, and θ1 = 41.2°
Part A
What are the wavelengths?
Express your answers using three significant figures separated by commas.
m = 1 order
Slit separation = D
Dsin = m
D = 1/N
N = lines/cm = 9000
= Dsin/m
= (sin)/(N*m)
1 = (sin28.8)/(9000*1)
1 = 5.3528 x 10-5 cm
1 = 535 nm
2 = (sin36.7)/(9000*1)
2 = 6.6402 x 10-5 cm
2 = 664 nm
3 = (sin38.6)/(9000*1)
3 = 6.9319 x 10-5 cm
3 = 693 nm
4 = (sin41.2)/(9000*1)
4 = 7.3187 x 10-5 cm
4 = 731 nm
A source produces first-order lines when incident normally on a 9000 slits/cm diffraction grating at angles...
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