Diffraction in Water: Exploring Snell's Law

In summary, when a diffraction experiment with a plane grating is submerged in water, the diffracted light produces wider and narrower angles compared to when the experiment is carried out in air. This is due to the change in wavelength caused by the difference in speed of light between air and water. The diffraction equations use different values for wavelength, resulting in different angles.
  • #1
zzizi
12
0

Homework Statement



Hi

Could someone explain to me... if a diffraction experiment that had a plane grating on it was submerged into water...why the diffracted light would produce extra angles that are wider and narrower than if the experiment had been carried in air?

Homework Equations



Snells law?

The Attempt at a Solution


Does it have something to do with refraction?

I would really appreciate an explanation, thanks.
 
Physics news on Phys.org
  • #2
assuming that the frequency of the light being used does not change in or out of the water then the wavelength must change as a result of the differing speeds of light. i.e:

frequency = velocity / wavelength ([tex]\lambda[/tex])

so, solving for [tex]\lambda[/tex], [tex]\lambda[/tex] = v/f.

in a vacuum (or near vacuum, i.e. air) v = c. However, in water v = c/~1.3, resulting in a [tex]\lambda[/tex] which is significantly different.

so, your diffraction equations:

d sin ([tex]\theta[/tex]) = m [tex]\lambda[/tex], and a sin([tex]\theta[/tex]) = m[tex]\lambda[/tex]

are now using significantly different values, resulting in significantly different values for [tex]\theta.[/tex]
 
  • #3
Thank you so much.
 

Related to Diffraction in Water: Exploring Snell's Law

1. What is diffraction in water?

Diffraction in water refers to the phenomenon of a wave changing direction and bending as it passes through water. This can occur when a wave encounters an obstruction, such as a barrier or a change in water density.

2. How does diffraction in water relate to Snell's Law?

Diffraction in water is closely related to Snell's Law, which states that the angle of incidence of a wave is equal to the angle of refraction when passing through a boundary between two different mediums, such as air and water. This law helps explain the bending of a wave as it passes through water due to changes in density.

3. What factors affect the amount of diffraction in water?

The amount of diffraction in water can be affected by several factors, including the wavelength of the wave, the angle of incidence, and the properties of the medium it is passing through. Additionally, the shape and size of the barrier or obstruction can also impact the amount of diffraction that occurs.

4. How is diffraction in water used in real-world applications?

Diffraction in water has several practical applications, including in the field of hydrodynamics and ocean engineering. It is also used in the design of sonar and other acoustic devices, as well as in the study of light and optics in underwater environments.

5. Can diffraction in water be observed in everyday life?

Yes, diffraction in water can be observed in everyday life. For example, when you drop a pebble into a still body of water, you can see the circular wave pattern that forms as the wave diffracts and travels outward from the point of impact. Additionally, the way light bends as it passes through water can also be attributed to diffraction.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
5K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
903
  • Introductory Physics Homework Help
Replies
34
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
4K
  • Introductory Physics Homework Help
Replies
1
Views
785
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
5K
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
5K
Back
Top