# The diffraction grating has 50 lines per millimeter. At what angle is the maximum

July 31, 2021 | education

| **The diffraction grating has 50 lines per millimeter. At what angle is the maximum of the second order of monochromatic radiation with a wavelength of 400 nm visible?**

We use to solve the formula describing the diffraction grating: d * sin φ = k * λ, where

d – diffraction grating constant;

d = 1/50 = 0.02 mm. = 2 * 10 ^ -5 m.

sin φ is the sine of the angle of deviation from the straight-line passage of light,

k is the order of the lattice maximum,

λ is the length of the light wave.

sin φ = k * λ / d = 2 * 400 * 10 ^ -9 / 2 * 10 ^ -5 = 400 * 10 ^ -4 = 0.04;

φ = arcsin 0.04;

φ = 2 ° 17 ‘.

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