Chapter 5: Problem 19
Explain how we know that atoms have massive, compact nuclei.
Chapter 5: Problem 19
Explain how we know that atoms have massive, compact nuclei.
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Get started for freeObtain a glass prism (or a diffraction grating, which is probably more readily available and is discussed in the next chapter) and look through it at various light sources, such as an ordinary incandescent light, a neon sign, and a mercury vapor street lamp. Do not look at the sun! Looking directly at the Sun causes permanent eye damage or blindness. Do you have any trouble seeing spectra? What do you have to do to see a spectrum? Describe the differences in the spectra of the various light sources you observed.
The equation that relates the frequency, wavelength, and speed of a light wave, \(v=c / \lambda\), can be rewritten as \(c=v \lambda . \mathrm{A}\) friend who has studied mathematics but not much astronomy or physics might look at this equation and say: "This equation tells me that the higher the frequency \(v\), the greater the wave speed \(c\). Since visible light has a higher frequency than radio waves, this means that visible light goes faster than radio waves." How would you respond to your friend?
To emit the same amount of light energy per second, which must emit more photons per second: a source of red light, or a source of blue light? Explain.
An imaginary atom has just 3 energy levels: \(0 \mathrm{eV}, 1 \mathrm{eV}\), and \(3 \mathrm{eV}\). Draw an energy-level diagram for this atom. Show all possible transitions between these energy levels. For each transition, determine the photon energy and the photon wavelength. Which transitions involve the emission or absorption of visible light?
Use the Starry Night Enthusiast \({ }^{\mathrm{TM}}\) program to examine some distant celestial objects. First display the entire celestial sphere (select Guides \(>\) Atlas in the Favourites menu) and ensure that deep space objects are displayed by opening View \(>\) Deep Space and clicking on Messier Objects and Bright NGC Objects. You can now search for objects (i), (ii), and (iii) listed below. Click the Find tab at the left of the main view window to open the Find pane, click on the magnifying glass icon at the left of the edit box at the top of the Find pane and select Search All from the menu, and then type the name of the object in the edit box followed by the Enter (Return) key. The object will be centered in the view. For each object, use the zoom controls at the right-hand end of the Toolbar (at the top of the main window) to adjust your view until you can see the object in detail. For each object, state whether it has a continuous spectrum, an absorption line spectrum, or an emission line spectrum, and explain your reasoning. (i) The Lagoon Nebula in Sagittarius. (Hint: See Figure 5-18.) (With a field of view of about \(6^{\circ} \times 4^{\circ}\), you can compare and contrast the appearance of the Lagoon Nebula with the Trifid Nebula just to the north of it.) (ii) M31, the great galaxy in the constellation Andromeda. (Hint: The light coming from this galaxy is the combined light of hundreds of billions of individual stars.) (ii) The Moon. (Hint: Recall from Section \(3-1\) that moonlight is simply reflected sunlight.)
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