Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating.If the third-order maximum of the diffraction pattern is observed at 32° from the centerline,what is the distance between the slits of the grating?

Question

Quizplus · Accepted Answer

We can use the formula for diffraction grating to solve this problem:

d*sin(θ) = mλ

Where d is the distance between the slits, θ is the angle of diffraction for a particular order (measured from the centerline), m is the order of the maximum, and λ is the wavelength of the light.

Here, we are given λ = 500 nm, θ = 32°, and m = 3. Solving for d, we get:

d = mλ/sin(θ)

d = 3*500 nm / sin(32°)

d = 2.8 μm

Therefore, the distance between the slits of the grating is 2.8 μm, which is option C.

Monochromatic Light of Wavelength 500 Nm Is Incident Normally on a Diffraction