# Wave Optics: Interference and Diffraction

1.A circular diffraction pattern is formed on a faraway screen.

(a) By what factor will the width of the central maximum change if the wavelength is doubled?

(a) 4

(b) 2

(c) 1 (no change)

(d) 1/2

(e) 1/4

(b) By what factor will the area of the central maximum change if the slit width is doubled?

(a) 4

(b) 2

(c) 1 (no change)

(d) 1/2

(e) 1/4

2. Consider a Young's two-slit experiment in which the wavelength of light is 38% smaller than the distance between

the slits.

(a) How many complete dark fringes would be seen on a distant screen? (Assume for all these questions that

the screen is as large as it needs to be.)

(a) 0

(b) 1

(c) 2

(d) 3

(e) 4

(f) 5

(b) How many total interference maxima would be seen on a distant screen?

(a) 0

(b) 1

(c) 2

(d) 3

(e) 4

(f) 5

(c) Now suppose that the wavelength of light is 134% larger than the slit separation. How many complete dark

fringes would be seen on a distant screen?

(a) 0

(b) 1

(c) 2

(d) 3

(e) 4

(f) 5

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#### Solution Summary

Two problems with parts about the interference and diffraction are solved.

Wave Optics: Interference and Diffraction

1. Two waves shown in the attachment with the same amplitude, A, and wavelength, lamda, and traveling in the same direction. Initially the sources (dot at the origin) are also at the same point. The source of the second wave is then displaced by a distance sigma x.

a) For what values of sigma x will the superposition of the two waves show total constructive interference?

b) For what values of sigma x will the superposition of the two waves show total destructive interference?

See attached

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