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Chapter 33: Q. 3 (page 954)

3. FIGURE Q33.3 shows the viewing screen in a double-slit experiment. FringeCis the central maximum. What will happen to the fringe spacing if

a. The wavelength of the light is decreased?

b. The spacing between the slits is decreased?

c. The distance to the screen is decreased?

d. Suppose the wavelength of the light islocalid="1649170567955" 500nm. How much farther is it from the dot on the screen in the center of fringe E to the left slit than it is from the dot to the right slit?

Short Answer

Expert verified

(a) The wavelength of the light If 位increases, 螖ywill decrease.

(b) The spacing between the If d decreases, 螖ywill increase.

(c)The distance to the screen If L decreases, 螖ywill decrease.

(d) 2位=1000nmfarther from the dot on the screen

Step by step solution

01

definition of fringe spacing

Fringe spacing is the distance between any two consecutive bright or dark fringes. The spacing and thickness of a dark and a bright fringe are the same.

02

Find fringe spacing

We know that 螖y=位L/d.

(a) If位 increases, 螖ywill decrease.

(b) If d decreases, 螖ywill increase.

(c) If L decreases, 螖ywill decrease.

(d) Since the dot is in the m=2bright fringe and each bright fringe is 位distance apart, hence, the path length difference from the two slits is2位=1000nm .

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Most popular questions from this chapter

FIGURE P33.49 shows the interference pattern on a screen 1.0mbehind a diffraction grating. The wavelength of the light is 620nm. How many lines per millimeter does the grating have?

The intensity at the central maximum of a double-slit interference pattern is 4I1. The intensity at the first minimum is zero. At what fraction of the distance from the central maximum to the first minimum is the intensity I1? Assume an ideal double slit.

Light of wavelength 600nmpasses though two slits separated by 0.20mmand is observed on a screen 1.0mbehind the slits. The location of the central maximum is marked on the screen and labeled y=0.

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