How do you find the difference in the angle of refraction?

[angiep410]

Homework Statement

Sunlight strikes a piece of crown glass at an angle of incidence of 36.7 degrees. Calculate the difference in the angle of refraction between a orange (610. nm) and a violet (410. nm) ray within the glass. The indices of refraction for the orange and the violet are n = 1.522 and n = 1.538, respectively

Homework Equations

I know that the angle of incidence = the angle of reflection

The Attempt at a Solution

I don't really know how to solve this with the information I'm given. I have no idea where to start. Can someone help me?

 

[technician]

This is REFRACTION you need the relationship between Sini and Sinr

 

[angiep410]

This is REFRACTION you need the relationship between Sini and Sinr

so then I'm even more confused. So I have sin(36.7)= ? How do I set it up?

 

[dacruick]

I know that the angle of incidence = the angle of reflection

This shows me that you're not quite sure what you're being asked.

In every material, the 'n' value (index of refraction) is a function of wavelength. Each wavelength in the visible range of light is received by our eyes as different colours.
The question is asking you: If a beam of white light (containing all wavelengths) strikes the glass at angle ∅, what will be the difference in the refracted angle between orange and violet.

All you have to do is apply snell's law twice (to each colour), and compare the answers.

 

[angiep410]

But I'm given that the wavelength of orange is 610 nm and the indices of refraction is n = 1.522 and the wavelength of violet is 410 nm and the indices of refraction is n = 1.538. So How do I set it up if I'm given all of this information?