Question

You measure an angle of 21.1 when the light passes through a grating with 610 lines per mm. What is the wavelength of the light?

Answer 1

The wavelength is 590 nm.

Calculation:

The equation for diffraction is given as,

dsinθ = nλ

λ = dsinθ/n

Given,

θ = 21.1°

1/d = 1/610 lines per mm

n = 1

d = 1/610 lines per mm

  = 1.639 × 10⁻⁶

Now, put the values in the equation

λ = dsinθ/n

λ = 1.639 × 10⁻⁶ × sin 21.1°/1

  = 590 nm

Hence, the wavelength is 590 nm.

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