Solving Snell's Law: n_blue, n_red, White Light & 30.0° Angle

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Homework Help Overview

The discussion revolves around applying Snell's Law to determine the angle between red and blue light as they pass through a specific type of glass, with given refractive indices. Additionally, a conceptual question regarding the relationship between volume and temperature in an ideal gas is raised.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the application of Snell's equation to find the angles of refraction for different wavelengths of light. There is also a conceptual inquiry about the effect of temperature on the volume of an ideal gas, with some uncertainty expressed regarding the relationship.

Discussion Status

Some participants are seeking confirmation on the calculations related to Snell's Law, while others are discussing the principles of gas behavior in relation to temperature changes. There is a mix of attempts to clarify and confirm understanding without reaching a definitive conclusion.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the depth of discussion on methods or solutions. The original poster's calculations and assumptions are being questioned, indicating a need for further exploration of the problem setup.

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A certain kind of glass [tex]n_blue[/tex] = 1.650 for blue light and [tex]n_red[/tex] = 1.610 for red light. If a beam of white light (containing all colors) is incident at an angle of 30.0 degrees, what is the angle between the red and blue light inside the glass?

I use the Snell's equation:

[tex]n_1sin\Theta_1=n_2sin\Theta_2[/tex]

Hmm... I got 0.22 degrees. Is that correct?

I have another simple conceptual question:

An ideal gas is confined to a container with adjustable volume. The pressure and mole number are constant. By what factor will volume change if absolute temperature triples?

I guess it is 3 times the volume... or is it 1/3 the volume?

[tex]PV=nRT[/tex]
 
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I guess it is 3 times the volume... or is it 1/3 the volume?
Do things expand or contract when they get hot ? If you take an empty plastic bottle with the cap firmly on from a warm room and put it in the fridge, what happens ?
 
Oh yes, Volume is directly proportional to Temperature in this case, Thanks. 3 times the Volume then.
 
Can anybody confirm with me for the first question I posted? Thanks.
 
I can't see how you got 0.22 degrees. Can you show what you got for theta(red) and theta(blue)?
 

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