Diffraction grating and wavelength

For other orders, it can be calculated using the equation nλ = d sinθ, where n is the order number, λ is the wavelength, d is the spacing between diffraction grating lines, and θ is the angle of diffraction.
  • #1
CAH
48
0
Hi I've attached the question and mark scheme,

I don't understand part 6(d)... Why have they used sin90?

nλ=dsinθ

If there is another order beam how can it be known the angel at which it exists from the zero order?
Thanks
 

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  • #2
CAH said:
Why have they used sin90?
That is the largest angle where you can observe anything and it maximizes the sine. Either something is observable at this or a smaller angle, or it is not observable at all.
CAH said:
If there is another order beam how can it be known the angel at which it exists from the zero order?
The 0th order is always at 0 degrees.
 

What is a diffraction grating?

A diffraction grating is an optical component that consists of a large number of evenly spaced parallel slits or grooves. It is used to disperse light into its component wavelengths, similar to a prism.

How does a diffraction grating work?

When light passes through a diffraction grating, it is diffracted in different directions due to the interference of the light waves passing through the slits. This results in the separation of the different wavelengths of light, creating a spectrum.

What is the relationship between a diffraction grating and wavelength?

The distance between the slits on a diffraction grating has a direct relationship with the wavelength of light that is diffracted. The closer the slits are, the smaller the diffraction angle and the larger the wavelength. Conversely, the farther the slits are, the larger the diffraction angle and the smaller the wavelength.

What are some practical applications of diffraction gratings?

Diffraction gratings are used in various scientific and technological fields, including spectroscopy, telecommunications, and astronomy. They are also commonly used in optical instruments such as spectrometers and monochromators to analyze the composition of light sources.

How are diffraction gratings manufactured?

There are several methods for manufacturing diffraction gratings, including ruling, holographic, and photolithographic techniques. These methods involve creating precise, evenly spaced grooves on a surface, either mechanically or through the use of light interference patterns.

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