If light from a 452-nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56)at an angle of 60°,what is the wavelength of the ray refracted within the quartz?
A) 186 nm
B) 290 nm
C) 710 nm
D) 1100 nm
E) 452 nm

Question

If light from a 452-nm monochromatic source in air is incident upon the surface of fused quartz (n = 1.56)at an angle of 60°,what is the wavelength of the ray refracted within the quartz?
A) 186 nm
B) 290 nm
C) 710 nm
D) 1100 nm
E) ​452 nm

Quizplus · Accepted Answer

Using Snell's law, we can find the angle of refraction within the quartz: 
n1sinθ1 = n2sinθ2 
where n1 and θ1 are the refractive index and angle of incidence in air, and n2 and θ2 are the refractive index and angle of refraction in quartz. 
Substituting values: 
1sin60° = 1.56sinθ2 
θ2 = sin^-1(1/1.56sin60°) ≈ 37.1° 
Using the same formula, we can find the wavelength of the refracted ray: 
n1λ1 = n2λ2 
where λ1 and λ2 are the wavelengths in air and quartz. 
Substituting values: 
1(452nm) = 1.56λ2 
λ2 ≈ 290nm

If Light from a 452-Nm Monochromatic Source in Air Is