Question

A beam of white light is incident on the surface of a diamond at an angle...

A beam of white light is incident on the surface of a diamond at an angle θaθatheta_a.(Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred=2.410nred=2.410 for red light and nblue=2.450nblue=2.450 for blue light. The surrounding air has nair=1.000nair=1.000. Note that the angles in the figure are not to scale.

Calculate vredvredv_red, the speed of red light in the diamond. To four significant figures, c=2.998×108m/sc=2.998×108m/s.

Calculate vbluevbluev_blue, the speed of blue light in the diamond. To four significant figures, c=2.998×108m/sc=2.998×108m/s.

Derive a formula for δδdelta, the angle between the red and blue refracted rays in the diamond.

Express the angle in terms of nrednredn_red, nbluenbluen_blue, and θaθatheta_a. Use nair=1nair=1. Note that any trig function entered in your answer must be followed by an argument in parentheses, and that the proper way to enter the inverse sine of xxx in this case is asin(x).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1a. A beam of white light goes from air into diamond at an incident angle of...
1a. A beam of white light goes from air into diamond at an incident angle of 71.0°. At what angle is the orange (610 nm) light refracted? 1b. At what angle is blue (470 nm) light refracted?
A ray of sunlight is passing from diamond into crown glass; the angle of incidence is...
A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 36.00°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond = 2.444, ncrown glass = 1.531), and red (ndiamond = 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass.
A ray of sunlight is passing from diamond into crown glass; the angle of incidence is...
A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 36.30°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond = 2.444, ncrown glass = 1.531), and red (ndiamond = 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass.
A light beam travels at 1.34×108 m/s in diamond. The wavelength of the light in diamond...
A light beam travels at 1.34×108 m/s in diamond. The wavelength of the light in diamond is 450 nm. For the speed of light in vacuum/air remember we use the value, 3 x 108 m/s. a)  What is the index of refraction of diamond at this wavelength? b)  If the light ray hits the surface of the diamond at the angle of 16.0° from the normal, at which angle (from the normal) will it be refracted into air? (Recall the nair =...
A beam of white light goes from air into water at an incident angle of 75.0o...
A beam of white light goes from air into water at an incident angle of 75.0o . At what angles are the red (660 nm) and violet (410 nm) parts of the light refracted? What is the index of refraction of the red part of the light and the violet part of the light?
A ray of light traveling through air strikes a piece of diamond at an angle of...
A ray of light traveling through air strikes a piece of diamond at an angle of incidence equal to 55.5 degrees. Calculate the angular separation in degrees between the red light and the violet light in the refracted ray, given that: The index of refraction of violet light ( Lamdaviolet = 400nm) in diamond is 2.46. The index of refraction of red light ( Lamdared = 700nm) in diamond is 2.41. Enter the numeric value in degrees.
A light beam strikes a piece of glass at a 62.00 ? incident angle. The beam...
A light beam strikes a piece of glass at a 62.00 ? incident angle. The beam contains two wavelengths, 450.0 nm and 700.0 nm, for which the index of refraction of the glass is 1.4831 and 1.4754, respectively. What is the angle between the two refracted beams? Express your answer using two significant figures.
A light beam strikes a piece of glass at a 68.00 ∘incident angle. The beam contains...
A light beam strikes a piece of glass at a 68.00 ∘incident angle. The beam contains two wavelengths, 450.0 nm and 700.0 nm, for which the index of refraction of the glass is 1.4831 and 1.4754, respectively. Part A What is the angle between the two refracted beams? Express your answer using two significant figures. θ700nm−θ450nm =   ∘  
a ray of white light falls from the air onto a glass sheet with an angle...
a ray of white light falls from the air onto a glass sheet with an angle of 30 °. a) What angle will the red and blue white light component rays form between each other inside the glass if the values of the glass refractive indices for these colors are, respectively, n red = 1,612 and n blue = 1,671 b) What will be the values of the frequency and wavelength corresponding to each of these radiations in the glass,...
Light in the air is incident at an angle to a surface of (12.0 + A)...
Light in the air is incident at an angle to a surface of (12.0 + A) degrees on a piece of glass with an index of refraction of (1.10 + (B/100)). What is the angle between the surface and the light ray once in the glass? Give your answer in degrees and rounded to three significant figures. A= 6 B= 41