Calculating Angle of Refraction Using Snell's Law

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Homework Help Overview

The discussion revolves around calculating the angle of refraction using Snell's Law, involving a ray of light transitioning through different media with varying refractive indices. The original poster presents an attempt to find the angle as the ray enters a liquid after passing through a gas and a solid.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the correct interpretation of the angle of incidence and whether to use the angle of 35 degrees directly. There are attempts to apply Snell's Law with different angles and refractive indices.

Discussion Status

Some participants provide feedback on the original poster's calculations, indicating confusion about the angle of incidence. There is a mix of attempts to clarify the correct approach and calculations, with some guidance offered regarding the use of angles in Snell's Law.

Contextual Notes

Participants are navigating the definitions of angles in relation to the normal and the implications of using different angles in their calculations. The original poster's initial setup may have led to misunderstandings about the angles involved.

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Homework Statement


The figure (http://i43.tinypic.com/2dt5e2e.jpg") shows a ray of light traveling through a gas (n = 1.00), a solid (n = 1.84), and a liquid (n = 1.61). What is the angle θ made by the ray as it enters the liquid?

Homework Equations


(n1)(sin θ1)=(n2)(sin θ2)

The Attempt at a Solution


(1.00) (sin 90-35) = (1.84) (sin θ)
θ = 26.4 degrees

(1.84) (sin 26.4) = (1.61) (sin θ)
θ = 30.5 degrees
 
Last edited by a moderator:
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(1.00) (sin 90-35) = (1.84) (sin θ)
This is wrong. The angle of incidence is the angle made on the incident ray with the normal.
 
Would I just use sin 35 then? I'm confused. :frown:
 
yes.
 
Thanks! I'll try it again:

(1.00) (sin 35) = (1.84) (sin θ)
θ = 18.2 degrees

(1.84) (sin 18.2) = (1.61) (sin θ)
θ = 20.9 degrees
 
It is correct.
 

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