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Chapter 33: Q. 1 (page 955)

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?

Short Answer

Expert verified

Unknown wavelength is465nm.

Step by step solution

01

Formula for position

The aim is to require use of very fact that the m=4bright orange fringe has the identical position ybecause m=3bright orange fringe.

And we know that for the sunshine fringes within the double slit experiment, we may write the position as follows:

ym=尘位尝d

02

Calculation for unknown wavelength

We'll ask the unknown wavelength as 位un.

And therefore the orange wavelength as 位or.

When the positions of the two fringes are equalized, the result is

localid="1649168675266" 4位unLd=3位orLd

Becauselocalid="1649168679741" dandlocalid="1649168685122" Lare equal, they wipe out on equal sides. Hence

localid="1649167746395" 位un=3位or4

=3脳620nm4

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Most popular questions from this chapter

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.

A double-slit experiment is set up using a helium-neon laser (位=633nm). Then a very thin piece of glass (n=1.50) is placed over one of the slits. Afterward, the central point on the screen is occupied by what had been the m=10 dark fringe. How thick is the glass?

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.

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?

A diffraction grating produces a first-order maximum at an angle of 20.0掳. What is the angle of the second-order maximum?
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