Narrow, bright fringes are observed on a screen behind a diffraction grating. The entire experiment is then immersed in water. Do the fringes on the screen get closer together, get farther apart, remain the same, or disappear? Explain.

Short Answer

Expert verified

The edges of the fringes are getting closer to each other.

Step by step solution

01

Introduction

The dazzling fringe occurs when the crest of one waveform corresponds with the crest of another. The dark fringe occurs when the trough of one wave coincides with the trough of another, resulting in dark fringes.

02

Explanation

We already know that Δy=λLd. When the experiment is submerged in water, the frequency of the light stays constant, but the wavelengths drops as the movement slows. As the wavelength of light decreases, the fringes become closer together.

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Most popular questions from this chapter

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?

FIGURE P33.56 shows the light intensity on a screen behind a circular aperture. The wavelength of the light is 500nmand the screen is 1.0mbehind the slit. What is the diameter (in mm) of the aperture?

In a double-slit interference experiment, which of the following actions (perhaps more than one) would cause the fringe spacing to increase? (a) Increasing the wavelength of the light. (b) Increasing the slit spacing. (c) Increasing the distance to the viewing screen. (d) Submerging the entire experiment in water.

A helium-neon laser (λ=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 θ1to 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?

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 5.0×10-16sin 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 Δϕ0between 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?

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