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Chapter 33: Q. 10 (page 955)

Light of wavelength620nmilluminates a diffraction grating. The second-order maximum is at angle 39.5掳. How many lines per millimeter does this grating have?

Short Answer

Expert verified

There aren=512lines per millimeter does this grating have

Step by step solution

01

Step1:  definition of light of wavelength

As a result, the wavelength is defined as the distance between the crest or trough of one wave and the crest or trough of the next wave. The wavelength of light is defined as "the distance between the light wave's two successive crests or troughs."

02

Find how many lines per meter

In order to obtain constructive interference from a diffraction grating, the following conditions must be met.

dsin鈦�胃m=m位

m=0,1,2,3,鈥�

We can use the previous equation to calculate the distance between any two successive slits d if we know the angle of the second-order maximum and the wavelength used to illuminate the grating.

d=2位sin鈦�胃2=2脳620脳10鈭�9msin鈦�39.5鈭�=1.95脳10鈭�6m

The number of lines per millimetre can now be calculated as

n=1mmd=1脳10鈭�3m1.95脳10鈭�6m=512

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Most popular questions from this chapter

FIGURE shows the light intensity on a screen 2.5mbehind an aperture. The aperture is illuminated with light of wavelength 620nm.

a. Is the aperture a single slit or a double slit? Explain.

b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?

FIGURE shows the light intensity on a screen 2.5mbehind an aperture. The aperture is illuminated with light of wavelength 620nm.

a. Is the aperture a single slit or a double slit? Explain.

b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?

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?

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the wavelength of the light is 620nm. What is the distance from the slits to the screen?

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?
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