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Chapter 33: Q. 37 (page 956)

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the screen is 2.0mbehind the slits. What is the wavelength (in nm) of the light?

Short Answer

Expert verified

The light's wavelength isλ=500nm.

Step by step solution

01

Step: 1 wavelength light:

The wavelength of visible light is 400nmto 700nm, and this is where we understand about the widths of multiple colors in the visible spectrum of light.

02

Step: 2 Finding the width:

As per the diagram,since the width of four fringes is 20cm, the width of one fringe will be

w=0.024w=5×10−3m.

We understand that the fringe thickness in the double-slit experiment is calculated as

w=λLd.

03

Step: 3 Obtaining the wavelength value:

The wavelength by

λ=wdL

λ=5×10−3×2×10−42

λ=5×10−7m

localid="1649147686306" λ=500nm.

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Most popular questions from this chapter

A Michelson interferometer using 800nm light is adjusted to have a bright central spot. One mirror is then moved 200nm forward, the other 200nm back. Afterward, is the central spot bright, dark, or in between? Explain.

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.

To illustrate one of the ideas of holography in a simple way, consider a diffraction grating with slit spacing d. The small-angle approximation is usually not valid for diffraction gratings, because dis only slightly larger than λ, but assume that the λ/dratio of this grating is small enough to make the small-angle approximation valid.

a. Use the small-angle approximation to find an expression for the fringe spacing on a screen at distance Lbehind the grating.

b. Rather than a screen, suppose you place a piece of film at distance L behind the grating. The bright fringes will expose the film, but the dark spaces in between will leave the film unexposed. After being developed, the film will be a series of alternating light and dark stripes. What if you were to now “play” the film by using it as a diffraction grating? In other words, what happens if you shine the same laser through the film and look at the film’s diffraction pattern on a screen at the same distance L? Demonstrate that the film’s diffraction pattern is a reproduction of the original diffraction grating

FIGUREP33.49shows the interference pattern on a screen 1.0mbehind an 800line/mmdiffraction grating. What is the wavelength (in mm) of the light?

A double slit is illuminated simultaneously with orange light of wavelength 620nm and light of an unknown wavelength. The m=4 bright fringe of the unknown wavelength overlaps the m=3 bright orange fringe. What is the unknown wavelength?
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