Monochromatic light of wavelength 6600 A incident normally on grating. If the second order spectrum produced at an angle 18° 14' from the normal. Find the length (wide in cm) of the grating if the total number of lines on the grating is 9541 (sin 18° 14'=0.3129)
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Given Monochromatic light of wavelength 6600 A incident normally on grating. If the second order spectrum produced at an angle 18° 14' from the normal. Find the length (wide in cm) of the grating if the total number of lines on the grating is 9541
- For dark position
- a sin theta = Nλ
- Since it is the 2nd order we have
- a sin theta = 2λ
- So λ = 6600 nm
- theta = 18 deg 14’
- Substituting we get
- a sin18 deg 14’ = 2(6600)
- a x 0.3129 = 13,200
- Or a = 42.186 x 10^-6 m
- Now d/N = 42.186 x 10^-6
- d / 9541 = 42.186 x 10^-6
- Or d = 4 cm
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