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Chapter 33: Q. 1 (page 954)

FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero and the tick marks locating the double-slit fringes, then draw a graph to show how the light-intensity pattern will appear if the right slit is blocked, allowing light to go through only the left slit. Explain your reasoning.

Short Answer

Expert verified

We'd get a single-slit pattern. The intensity in this pattern peaks below the slit and decreases as we move away from the centre. The central peak is twice as wide as the other peaks.

Step by step solution

01

Theory of light wave

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02

Step2:Find light intensity

The light intensity will be similar to that of diffraction from a single thin slit. This assumes that the slit is no wider than 1 mm.

For the intensity versus position graph, we'd get something like this:

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Most popular questions from this chapter

A diffraction grating with 600linesmmis illuminated with light of wavelength 510nm. A very wide viewing screen is2.0m behind the grating.
aWhat is the distance between the twom=1 bright fringes?
bHow many bright fringes can be seen on the screen?

FIGURE shows the light intensity on a viewing screen behind a single slit of width a. The light鈥檚 wavelength is 位. Is 位<a,位=a, 位>a, oris it not possible to tell? Explain.

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.

a. At what distance, on either side of y=0, are the m=1bright fringes?

b. A very thin piece of glass is then placed in one slit. Because light travels slower in glass than in air, the wave passing through the glass is delayed by 5.0脳10-16sin comparison to the wave going through the other slit. What fraction of the period of the light wave is this delay?

c. With the glass in place, what is the phase difference 螖蠒0between the two waves as they leave the slits?2

d. The glass causes the interference fringe pattern on the screen to shift sideways. Which way does the central maximum move (toward or away from the slit with the glass) and by how far?

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?

Light of 630nmwavelength illuminates two slits that are0.25mmapart. FIGURE EX33.5shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen?
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