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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

It shows the light intensity on a viewing screen behind a circular aperture. What happens to the width of the central maximum if the

a. The wavelength of the light is increased.

b. The diameter of the aperture is increased.

c. How will the screen appear if the aperture diameter is less than the light wavelength?

A diffraction grating has slit spacing d. Fringes are viewed on a screen at distance L. Find an expression for the wavelength of light that produces a first-order fringe on the viewing screen at distanceLfrom the center of the screen.

A helium-neon laser (位=633nm)is built with a glass tube of inside diameter 1.0mm, as shown in FIGURE P33.62. One mirror is partially transmitting to allow the laser beam out. An electrical discharge in the tube causes it to glow like a neon light. From an optical perspective, the laser beam is a light wave that diffracts out through a 1.0-mm-diameter circular opening.

a. Can a laser beam be perfectly parallel, with no spreading? Why or why not?

b. The angle 胃1to the first minimum is called the divergence angle of a laser beam. What is the divergence angle of this laser beam?

c. What is the diameter (in mm) of the laser beam after it travels3.0m?

d. What is the diameter of the laser beam after it travels 1.0km?

a. Green light will shine through a hole with a 100-mm-diameter hole of and is seen on a screen. Does the circular point of lights 20%,is on the screen shrink in diameter, rise in diameter, or remain the same in diameter by? Explain.

b. Green light will shine through a hole with a 100-渭mdiameter of and is seen on a screen. Does the circular point of lights is 20%,on the screen shrink in diameter, rise in diameter, or remain the same in diameter by? Explain.

A student performing a double-slit experiment is using a green laser with a wavelength of 530nm.. She is confused when the m=5maximum does not appear. She had predicted that this bright fringe would be 1.6cmfrom the central maximum on a screen 1.5mbehind the slits.

a. Explain what prevented the fifth maximum from being observed.

b. What is the width of her slits?
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