What is the wavelength of light used?

shaunistayb1 2022-09-26 Answered
Monochromatic beams are passed on the diffraction grid with a lattice count of 100 lattice/cm of light undergoes dark diffraction to three measured within 5.5 mm of light center, gap distance to the screen 40 cm. What is the wavelength of light used?
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Answers (1)

brodireo1
Answered 2022-09-27 Author has 12 answers
From the question, it is given that-
Lattice count of diffraction grid: N = 100  lattice/cm
Distance between dark and 3rd maxima: y = 5.5  mm = 5.5 × 10 3  m
Distance between grating lit and screen: D = 40  cm = 0.40  m
To determine the wavelength of light used in diffraction.
From the question we have:
N = 100 lines/cm
Distance between two grid:  d = 1 N = 1 100  cm = 10 2 = 10 4
Wavelength of light: λ = 10 4 × 5.5 × 10 3 3 ( 5.5 × 10 3 ) 2 + ( 0.40 ) 2 = 4.583 × 10 7  m = 458.3  nm
Thus the wavelength of light used for diffraction is 458.3 nm.
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