Index of refraction for violet light

AI Thread Summary
The discussion revolves around calculating the angle of deviation for red light passing through a prism with a specified apex angle and angle of incidence. The index of refraction for violet light is noted as 1.65 and for red light as 1.62. Participants suggest using Snell's law to determine the angles of incidence and refraction at both surfaces of the prism. One user successfully calculated the angle of deviation for red light as 48.7 degrees but encountered issues while attempting to find the angular dispersion between violet and red light. The conversation emphasizes the importance of accurately drawing the prism and labeling angles for clarity in solving the problem.
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Homework Statement


The index of refraction for violet light in silica flint glass is 1.65 and for red light is 1.62.What is the angle of deviation for the red ray passing through a prism of apex angle 59.7 degrees. If the angle of incidence is 47.4 degrees.


Homework Equations



nglass sine theta3 = nredlight sine theta4
nredlight sine theta1 = nglass sine theta2

Angle of deviation = [theta 1 + theta 4 ] - apex angle

The Attempt at a Solution


I know the equations to be used. but I don't understand the figure that accompanies this problem in the textbook. Can someone post a general picture, with all of these angles labeled and provide a starting thrust?

Thank you!
 
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itryphysics said:

Homework Statement


The index of refraction for violet light in silica flint glass is 1.65 and for red light is 1.62.What is the angle of deviation for the red ray passing through a prism of apex angle 59.7 degrees. If the angle of incidence is 47.4 degrees.

Homework Equations



nglass sine theta3 = nredlight sine theta4
nredlight sine theta1 = nglass sine theta2

Angle of deviation = [theta 1 + theta 4 ] - apex angle

The Attempt at a Solution


I know the equations to be used. but I don't understand the figure that accompanies this problem in the textbook. Can someone post a general picture, with all of these angles labeled and provide a starting thrust?

Thank you!

I'd suggest that you make your own drawing, putting in the angles. The initial rays will coincide, but they will diverge on their way to the next internal surface. Use Snell's law to determine the first angles and that gives you the internal angles of incidence for the next surface (you know the apex angle) and then Snell's Law again should give you the external exit angle shouldn't it?
 


so for my answer i got 48.7 which was correct. Now i need to find the angle of dispersion of visible light with the same angle of incidence . So i found the angle of deviation for the violet light which was 52.27. then i subtracted the two to get the anglular dispersion which came out to be 3.57. but this is not correct. Please help
 
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