Diffraction gratings with 10,000 lines per centimeter are readily available. Suppose you have one, and you send a beam of white light through it to a screen 2.00 m away.

(a) Find the angles for the first-order diffraction of the shortest and longest wavelengths of visible light (380 and 760 nm). 

(b) What is the distance between the ends of the rainbow of visible light produced on the screen for first-order interference?

Strategy
The angles can be found using the equation

once a value for the slit spacing d has been determined. Since there are 10,000 lines per centimeter, each line is separated by 1/10,000 of a centimeter. Once the angles are found, the distances along the screen can be found using simple trigonometry.

Data from 27.20

Transcribed Image Text:

d sin 0 = ma (for m = 0, 1,-1,2, -2, ...) 27.12