Calculate the speed of blue light in the diamond

Reference no: EM132103045

Question: A beam of white light is incident on the surface of a diamond at an angle theta_a. 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. For example, the indices of refraction in diamond are n_red=2.410 for red light and n_blue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in the picture. The surrounding air has n_air=1.000. Note that the angles in the figure are not to scale.

A) Calculate Vred, the speed of red light in the diamond. To four significant figures, C= 3.0*10^8. Express your answer in meters per second to four significant digits.

B) Calculate Vblue, the speed of blue light in the diamond. To four significant figures, C=3.0 *10^8. Express your answer in meters per second to four significant digits.

C)Derive a formula for , the angle between the red and blue refracted rays in the diamond. Express the angle in terms of Nred ,Nblue ,Theta a and . Use Nair=1. Remember that the proper way to enter the inverse sine of x in this case is asin(x).

Reference no: EM132103045

Questions Cloud

What is the velocity of the ball : A ball is shot from the ground into the air. At a height of 8.8 m, the velocity is observed to be v = (7.7)i + (5.7)j in meters per second.

Draw the diagram for the standing wave : You are attempting to create a standing n = 7 in pipe 0.50 m in length and filled with air. The top the pipe open to the air and the bottom of the pipe.

Fatality accident that occurred on jobsite : Where would you report a fatality accident that occurred on a jobsite in Dallas of a business that employs 100 full-time workers?

Prepare income statements using variable costing : In 2012, the production and sales results were exactly reversed. Prepare income statements for each year using variable costing

Calculate the speed of blue light in the diamond : A beam of white light is incident on the surface of a diamond at an angle theta_a. Since the index of refraction depends on the light's wavelength.

How are societys demographics and values changing : How are society's demographics and values changing? What effect will these changes have on siem reap business and mice ?

According to the five forces model : According to the Five Forces model, in which scenario will profits be high?

What speed should the satellite have to be : Scientists want to place a 2700.0 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.4 times the radius.

What is the margin of safety : The current sales are $350,000 and break-even units are 10,000 at a price of $25 per unit. What is the margin of safety

User Account

All Pages