Adiffraction grating with 750 slits per mm is illuminated by light which gives a first-order diffraction angle of 34.0 ? .

The wavelength of the light is about 7.46 × 10⁻⁷ m

Let's recall diffraction grating formula as follows:

where:

d = distance between the slits ( m )

θ = diffraction angle ( radian )

n = order number

λ = wavelength of light ( m )

Let's now tackle the problem!

Complete Question:

A diffraction grating with 750 slits per mm is illuminated by light which gives a first-order diffraction angle of 34.0°. What is the wavelength of the light?

Given:

Number of slits = N = 750 slits/mm

Difraction angle = θ = 34.0°

Order Number = n = 1

Asked:

Wavelength = λ = ?

Solution:

Grade: High School

Subject: Physics

Chapter: Light