Question about light reflection

In summary, the question asks for the angle at which light leaves the water when shined from beneath at a 23.0° angle to the vertical. The attempted solution uses Snell's law and the given angle of incidence and index of refraction to find the angle x. However, it is unclear what x represents and what the question is specifically asking for. Further clarification is needed.
  • #1
kaptinmorgan
1
0

Homework Statement



A diver shines a flashlight upward from beneath the water at a 23.0° angle to the vertical. At what angle does the light leave the water?

Homework Equations


I thought that i could use snell's law here...but i don't know what to do afterwards...



The Attempt at a Solution



angle of incidence is 23... and the index of refraction is 1.333

1.333 (sin 23) = 1 (sin x)

is that about right?
 
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  • #2
kaptinmorgan said:
angle of incidence is 23... and the index of refraction is 1.333

1.333 (sin 23) = 1 (sin x)

is that about right?

Write very clearly what x represents here. What do you feel that the question wants?
 
  • #3


Your attempt at using Snell's law is correct. However, in order to find the angle at which the light leaves the water, you need to solve for x in the equation you have written. This can be done by taking the inverse sine of both sides of the equation, giving you:

x = sin^-1 (1.333 (sin 23))

Using a calculator, you can find that the angle of refraction is approximately 34.05°. This means that the light will leave the water at an angle of 34.05° from the vertical. This is known as the angle of refraction and is a result of the light bending as it passes from one medium (water) to another (air).
 

Related to Question about light reflection

1. How does light reflect off of different surfaces?

Light reflects off of different surfaces in different ways, depending on the surface's texture, color, and angle. Smooth and shiny surfaces, like mirrors, reflect light at equal angles, creating a clear and sharp reflection. Rough or matte surfaces, like paper, scatter light in various directions, resulting in a less defined reflection. The color of the surface also affects the color of the reflected light.

2. What is the law of reflection?

The law of reflection states that the angle of incidence, or the angle at which light hits a surface, is equal to the angle of reflection, or the angle at which the light bounces off the surface. This means that if a ray of light hits a surface at a 45-degree angle, it will reflect off the surface at a 45-degree angle.

3. Why do we see our reflection in a mirror?

Mirrors are smooth and highly reflective surfaces that follow the law of reflection. When light hits a mirror, it reflects off the surface, creating a clear and undistorted image of the objects in front of it. This is why we see our reflection in a mirror.

4. Can light reflect off of transparent materials?

Yes, light can reflect off of transparent materials, such as glass or water. However, the reflection may not be as noticeable as on a mirror due to the material's transparency. Some of the light may also pass through the material, resulting in both reflection and transmission.

5. How does the angle of incidence affect light reflection?

The angle of incidence plays a crucial role in light reflection. According to the law of reflection, the angle of incidence is equal to the angle of reflection. This means that changing the angle at which light hits a surface will change the angle at which it reflects off the surface, resulting in a different direction and intensity of the reflected light.

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