Interference/Diffraction with shadows

  • Thread starter Aeighme
  • Start date
In summary, the problem requires determining the length of a shadow cast by a vertical stick in a pool of salt water using only geometric optics. The length of the shadow is affected by the angle of the light source and the refractive index of the water.
  • #1
Aeighme
25
0

Homework Statement


At 11:00hrs a vertical stick in air, 1.8 m long, casts a shadow 1.2 m long. If the same stick is placed at 11:00hrs in air in a flat bottomed pool of salt water half the height of the stick, how long is the shadow on the floor of the pool? (For this pool, n = 1.56.)

Homework Equations


Not sure=/

The Attempt at a Solution


Don't know where to begin >.<
 
Physics news on Phys.org
  • #2
sounds like more of a *refraction* problem than an interference/diffraction problem. In other words, I think you can do this problem using only geometric optics, without considering the wave nature of light.

So, ask yourself, what *happens* to a ray of light upon entering the water that would tend to change the nature of the shadow cast by the stick? Strong hint: the length of the shadow is determined by the angle of the light source.
 

What is interference in relation to shadows?

Interference occurs when two or more light waves interact with each other, resulting in either constructive or destructive interference. In the case of shadows, this can happen when two light sources create overlapping shadows, causing areas of light and dark interference patterns.

How does diffraction affect shadows?

Diffraction is the bending of light waves as they pass through an opening or around an obstacle. This can cause shadows to have blurred or fuzzy edges, as the light waves are spread out over a larger area. Diffraction can also cause the appearance of interference patterns in shadows.

Why do shadows change size and shape?

Shadows can change size and shape due to the properties of light, including diffraction and interference. The angle and intensity of the light source, as well as the distance between the light source and the object casting the shadow, can also affect the size and shape of the shadow.

What factors affect the visibility of interference patterns in shadows?

The visibility of interference patterns in shadows can be affected by the distance between the light sources, the wavelength of the light waves, and the angle at which the light is shining on the objects. Additionally, the size and shape of the objects can also play a role in the visibility of interference patterns.

How is interference and diffraction used in real-world applications?

Interference and diffraction play important roles in various technologies, such as in the production of holograms, in fiber optics for telecommunication, and in the creation of interference filters for cameras and telescopes. They are also used in experiments to study the properties of light and in the development of new technologies.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
29
Views
6K
  • Advanced Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
7K
  • Introductory Physics Homework Help
Replies
5
Views
5K
  • Introductory Physics Homework Help
Replies
3
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
970
  • Introductory Physics Homework Help
Replies
2
Views
2K
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
18
Views
2K
Back
Top