Light- critical angle/refraction/reflection

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SUMMARY

The discussion focuses on solving problems related to light refraction and reflection, specifically using Snell's Law. The first problem involves calculating the critical angle for light transitioning from a liquid to air, with an angle of incidence of 26.0° and a refraction angle of 19.3°. The second problem requires finding the angle between reflected and refracted light when a ray strikes clear ice (n = 1.309) at 58.4°. The third problem involves calculating the height of a building based on the position of a laser beam from a submarine, with water's index of refraction at 1.333. Participants seek clarification on the relationship between angles of incidence, reflection, and refraction.

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  • Understanding of Snell's Law for refraction calculations
  • Knowledge of the index of refraction values for different materials
  • Familiarity with basic trigonometric functions and their applications in physics
  • Concept of the angle of incidence and reflection in optics
NEXT STEPS
  • Study Snell's Law in detail, including its applications in various media
  • Learn how to calculate the critical angle for different materials
  • Explore the relationship between angles of incidence, reflection, and refraction
  • Investigate practical applications of refraction in underwater optics and laser technology
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Students studying physics, particularly those focusing on optics, as well as educators and anyone interested in understanding the principles of light behavior in different media.

physicsluv
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I am stuck on three questions :(
Formulas: nsin(x)=n sin (x)
sinx=n2/n11. A ray of light traveling in air strikes the surface of a liquid. If the angle of incidence is 26.0◦ and the angle of refraction is 19.3◦, find the critical angle for light traveling from the liquid back into the air.
This is my work so far:
1sin(26)=xsin(19.3)
x=1.326

sinx=1.326/1
I then get an error. I do not know what I'm doing wrong :(

2. A ray of light traveling in air strikes the surface of a block of clear ice (n = 1.309) at an
angle of 58.4◦ with the normal. Part of the light is reflected and part is refracted. Find the angle between the reflected and the refracted light.
Work so far:
1sin(58.4)=1.309sinx
x=40.59213054
I believe that this is the refracted angle, but what is the reflected angle/how do I find it?


3. A submarine is 316 m horizontally out from the shore and 120 m beneath the surface of
the water. A laser beam is sent from the submarine so that it strikes the surface of the
water at a point 223 m m from the shore. If the beam strikes the top of a building
standing directly at the water’s edge, find the height of the building. The index of refraction of water is 1.333.
Answer in units of m
Work so far: None, because I can't even comprehend it.
Thanks for your help in advance :)
 
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I figured out 1 and 3, can someone help me with number two though?
 
physicsluv said:
I figured out 1 and 3, can someone help me with number two though?

Great! :approve:

So for (2),

physicsluv said:
2. A ray of light traveling in air strikes the surface of a block of clear ice (n = 1.309) at an
angle of 58.4◦ with the normal. Part of the light is reflected and part is refracted. Find the angle between the reflected and the refracted light.
Work so far:
1sin(58.4)=1.309sinx
x=40.59213054
I believe that this is the refracted angle, but what is the reflected angle/how do I find it?

What is the relation between angle of incidence and reflection for any plain mirror? :wink:
 

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