Question

Light of wavelength 635.00 nm is incident normally on a diffraction grating, and the first‑order maximum is observed to be 38.0∘ from the normal. how many slits per millimeter are marked on the grating?

Answer 1

Number of rulings per centimeter for the grating 4.5 x 10^3 grooves/cm

Given:

wavelength of light = 635.00 nm

angle of first order = 38.0∘

To Find:

Length of slits marked on grafting

Solution: Grafting and budding are horticultural techniques used to join parts from two or more plants so that they appear to grow as a single plant

We use the grating equation dsinθ = mλ

d = mλ/sinθ

d = 1 x 635x10^-7 m/sin 38.0∘

d = 2189.6 x 10^-7 m

Thus the grating gauge is

1/d = 0.00045 x 10^7 = 4.5 x 10^3 grooves/cm

So, number of rulings per centimeter for the grating 4.5 x 10^3 grooves/cm

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