Physics
posted by Joseph .
Hi, I have the following question:
1. The index of refraction for a prism is given by the equation:
n = 1.58 − (6.41 x 10^4)λ
where λ is the wavelength in meters. Light is incident at 28°.
Find the exit angle ß for light of
a) 800 nm
b) 633 nm
c) 540 nm
2. Will lower wavelengths be allowed to exit the prism? Why or why not?

Physics 
drwls
Use the given wavelength to compute the refractive index at that wavelength, then use Snell's law (twice) to get the refraction angles in and out. You have not said what the angle of the prism is. Shall we assume the cross section is an equilateral triangle? You need to know it when computing the exit angle.
At a wavelength of 540*10^9 m, the refractive index is 1.545. That is not a lot different from the value at 800 nm, but different enough to disperse a good spectrum. Light incident at any angle will be able to enter the prism, and will find a way to get out somehow.
Respond to this Question
Similar Questions

PHYSICS
A certain kind of glass with index of refraction of 1.65 for blue light of wavelength 430nm and index of refraction 1.615 for red light with wavelength 680nm. If a beam of light containing these two colors has incident angle of 30 … 
physics
Phy 124 – Chapter 22 Problems 1. Consider the following. A spot on a boat is 2.5 m above the water, and the light strikes the water at a point that is 8.0 m horizontally displaced from the spotlight. The depth of the water is 4.0 … 
PHYSICS
Two parallel slits are illuminated by light composed of two wavelengths. One wavelength is λA = 553nm. The other wavelength is λB and is unknown. On a viewing screen, the light with wavelength λA = 553nm produces its … 
Solar
Greeting All, please assist with the below. Thanks. The spectral power density of a solar simulator is given by: P(λ)=7.5∗1015λ−2.25∗109 [Wm^2m^1] for 300nm<λ<500nm P(λ)=2.25∗109−1.5∗1015λ … 
physics
Horizontal rays of red light (λ = 660 nm, in vacuum) and violet light (λ = 410 nm, in vacuum) are incident on the flintglass prism shown in the drawing. The indices of refraction for the red and violet light are nred = 1.662 … 
Physics
A photon having wavelength λ scatters off a free electron at A (see figure below), producing a second photon having wavelength λ'. This photon then scatters off another free electron at B, producing a third photon having … 
Calculus
My question is finding the derivitive of y=((x+λ)^4)/(x^4+λ^4). I distributed the exponent in the numerator, but I don't know if that's right. Rewritten as y=(x^4+λ^4)/(x^4+λ^4). I found the derivitive and multiplied … 
Physics
Monochromatic light of wavelength, λ is traveling in air. The light then strikes a thin film having an index of refraction n1 that is coating a material having an index of refraction n2. If n2 is larger than n1, what minimum film … 
MATH
The FritzHughNagomo equation occurs in many apps such as biology, genetics and heat transfer. In the 1D case, it can be written as du/dt = d^2/dx^2 + u(u1)(λu) where λ is constant. Show that this eqn supports a travelling … 
physics
A diffraction grating having 180 lines/mm is illuminated with a light signal containing two wavelengths, λ1 = 400 nm and λ2 = 500 nm. The signal is incident perpendicularly on the grating. What is the smallest angle at which …