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Measuring wavelength An instrument used to measure light wavelengths using a diffraction grating is called a grating spectroscope, as shown in the diagram in Figure 19-13 The source to be analyzed emits light that is directed to a slit The light from the slit passes through a diffraction grating The grating produces a diffraction pattern that is viewed through a telescope The diffraction pattern produced by a diffraction grating has narrow, equally spaced, bright lines, as shown in Figure 19-14 The larger the number of slits per unit length of the grating, the narrower the lines in the diffraction pattern As a result, the distance between the bright lines can be measured much more precisely with a grating spectroscope than with a double slit Earlier in this chapter, you found that the interference pattern produced by a double slit could be used to calculate wavelength An equation for the diffraction grating can be developed in the same way as for the double slit However, with a diffraction grating, could be large, so the small angle simplification does not apply Wavelength can be found by measuring the angle, , between the central bright line and the first-order bright line Wavelength from a Diffraction Grating d sin



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The wavelength of light is equal to the slit separation distance times the sine of the angle at which the first-order bright line occurs

[1910]

Constructive interference from a diffraction grating occurs at angles on either side of the central bright line given by the equation m dsin , where m 0, 1, 2, etc The central bright line occurs at m 0

Figure 19-14 A grating was used to produce diffraction patterns for red light (a) and white light (b)





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If instances of class Chilis are to be used as keys in a Map, which are true (Choose all that apply) A The code will not compile B The hashCode() and equals() contracts have been supported C The equals() method is reflexive, symmetric, and transitive D The Chilis class CANNOT be used to create keys to reliably add and retrieve entries in a Map E If the hashCode() method is not considered, the equals() method could be an override that supports the equals() contract F If the equals() method is not considered, the hashCode() method could be an override that supports the hashCode() contract 7 Given:

Using a DVD as a Diffraction Grating A student noticed the beautiful spectrum reflected off a rented DVD She directed a beam from her teacher s green laser pointer at the DVD and found three bright spots reflected on the wall The label on the pointer indicated that the wavelength was 532 nm The student found that the spacing between the spots was 129 m on the wall, which was 125 m away What is the spacing between the rows on the DVD

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Sketch the experiment, showing the DVD as a grating and the spots on the wall Identify and label the knowns Known:

Unknown:

125 m

To determine the cutoff wavelength, we can rearrange Eq 1910 to the form: 2

2 3 4 5 6 7 8 package packclients; import packbankingBank; public class Client{ public static void main(String[] args){ Bank bank = new Bank(); Systemoutprintln(bankgetMoney(2000L)); } }

459

741 10

Are the units correct The answer is in m, which is correct for separation Is the magnitude realistic With x and L almost the same size, d is close to

And given that Clientjava resides in the $ROOT directory and is not yet compiled There is another class named packbankingBank, which has a method called getMoney(long) that returns a value Bank class is compiled and deployed into a JAR file called packjar, as shown in the following directory structure

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