Chapter 22: Problem 9
How does a gravitational redshift differ from a Doppler shift?
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Chapter 22: Problem 9
How does a gravitational redshift differ from a Doppler shift?
These are the key concepts you need to understand to accurately answer the question.
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Use the Starry Night Enthusiast \({ }^{\mathrm{TM}}\) program to examine X-ray images of galaxies with supermassive black holes at their centers. Open the Options pane and expand the Deep Space layer. Select Chandra Images and deselect all of the other options in this layer. Use the Find pane and Zoom controls to examine each of the following galaxies: (i) \(\mathrm{NGC} \mathrm{4261 \text {;(ii)VirgoA(M87); }}\) (iii) M31. Open the Options pane again and select Messier Objects and deselect Chandra Images and compare the visual images of Virgo A (M87) and M31. Suggest why supermassive black holes were discovered in these galaxies only after relatively recent advances were made in telescope and detector technology.
Should we worry about the Earth being pulled into a black hole? Why or why not?
When we say that the Moon has a radius of \(1738 \mathrm{~km}\), we mean that this is the smallest radius that encloses all of the Moon's material. In this sense, is it correct to think of the Schwarzschild radius as the radius of a black hole? Why or why not?
Is it possible to tell which chemical elements went into a black hole? Why or why not?
The orbital period of the binary system containing A0620-00 is \(0.32\) day, and Doppler shift measurements reveal that the radial velocity of the X-ray source peaks at \(457 \mathrm{~km} / \mathrm{s}\) (about 1 million miles per hour). (a) Assuming that the orbit of the X-ray source is a circle, find the radius of its orbit in kilometers. (This is actually an estimate of the semimajor axis of the orbit.) (b) By using Newton's form of Kepler's third law, prove that the mass of the X-ray source must be at least \(3.1\) times the mass of the Sun. (Hint: Assume that the mass of the \(\mathrm{K} . \mathrm{V}\) visible star- about \(0.5 \mathrm{M}_{\odot}\) from the mass-luminosity relationship-is negligible compared to that of the invisible companion.)
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