Problem Set 7 (paper) due Friday 29 Apr 05

1. A double slit experiment is done. The slits are 0.020 mm wide and are spaced by 0.30 mm. Laser light of wavelength (in air) of 450 nm is shone on the slits, and the pattern is formed on a screen located 1.50 m from the slits. The distance from the laser to the slits is 0.50 m. Initially the experiment is done in air.
(a) What is the spacing of the interference fringes on the screen, in cm or mm.
(b) If the whole experiment is moved under water, n = 1.33, what will be the spacing of the interference fringes?

2. The following pattern is seen when the same slits and screen as in question 2 are used. It is drawn to scale.

(a) What is the wavelength of the light.
(b) What would be the name of the light: g-ray, X-ray, UV, visible, IR, microwave?

3. Consider an aperture with 7 equally spaced identical slits.
(a) If I0 is the intensity due to one slit, what is the intensity of the principal maximum?
(b) How many secondary maxima are there between the principal maxima?
(c) Bonus: Principal maxima occur for phase angle between slits of phi = 0, 2*pi, … What is the phase angle for the first dark spot past phi = 0?

4. Write out your solution to #10 on the WebAssign PS 7.0 1(+resolution),2,N slits_043.
Calculate the distance that separates the second and third order maximima described in the previous question [CLPhys1 37.P.037] if they appear on a screen that is 25.0 cm from the grating.


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This page maintained by Anne G. Young. Last modified 27-Apr-2005 .