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).
 

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