Solve Refraction Problem: Aquarium Height & Diam.

  • Thread starter Thread starter Gavroy
  • Start date Start date
  • Tags Tags
    Refraction
Click For Summary
SUMMARY

The discussion centers on solving a refraction problem involving a cylindrical aquarium with a height of 4 meters, filled with water to 3.9 meters. A person with a height of 1.7 meters stands in front of the aquarium, and the task is to calculate the aquarium's diameter while considering the effects of total internal reflection at the water-air interface. Key concepts include Snell's Law and the conditions for total internal reflection, which are critical for determining the angle at which the person must look to see the grid above the water surface.

PREREQUISITES
  • Understanding of Snell's Law
  • Knowledge of total internal reflection
  • Familiarity with ray diagrams
  • Basic principles of optics
NEXT STEPS
  • Study Snell's Law and its applications in optics
  • Explore the concept of total internal reflection in detail
  • Learn how to construct and analyze ray diagrams
  • Investigate the Fresnel equations and their relevance to light behavior at interfaces
USEFUL FOR

Students studying physics, particularly those focusing on optics, as well as educators looking for practical examples of refraction and reflection principles.

Gavroy
Messages
232
Reaction score
0
First, I want to say sorry for my english, cause I do not live in an english-speaking country.:rolleyes:
1. Homework Statement
Here the problem definition:
There is a person which has a body height of 1.7m and is standing in front of a cylindrical aquarium, which is 4 meters high.
It is filled with water to 3.9m and on the top of it there is a grid.

Now the person is standing directly in front of the cylindrical aquarium and as soon as the person would crouche she would be unable to see the grid.
Now, one should calculate the diameter of the aquarium and it is said that the glass of the aquarium can be neglected.
I included a picture which illustrates the situation.

But there is just one person standing directly in front of the windows.

Homework Equations



I guess:
Snell's law//maybe Fresnel equations?!

The Attempt at a Solution



But I am uncertain about the question, in which angle does the person look up in order to see the grid, because if the person looks up in a 90° angle
(I assume that the person will have to look up in some way, even though it is not mentioned in the problem definition), I am not sure whether this person would see something at all, because of total reflection, of the light beam passing from the water in the air.

Maybe you could tell me your ideas(I am not expecting a complete solution).
 

Attachments

  • aquarium.JPG
    aquarium.JPG
    14.1 KB · Views: 434
Physics news on Phys.org
Gavroy said:
But I am uncertain about the question, in which angle does the person look up in order to see the grid, because if the person looks up in a 90° angle
(I assume that the person will have to look up in some way, even though it is not mentioned in the problem definition), I am not sure whether this person would see something at all, because of total reflection, of the light beam passing from the water in the air.

Maybe you could tell me your ideas(I am not expecting a complete solution).
I think total internal reflection at the water-air interface is what prevents the person from seeing the grid. Draw yourself a ray diagram and see what condition must be true for a ray that starts in the middle of the grid and exits through the side of the aquarium to be reflected internally.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
14
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K