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| 1 |  |  Two waves have the same speed. Wave A has four times the frequency of wave B. How does the wavelength of wave A compare with that of wave B? |
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| 2 |  |  A wave has a frequency of 4 Hz and a wavelength of 6 m. What is the speed of the wave? |
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| 3 |  |  What is the wavelength of a wave that has a speed of 30 m/s and a frequency of 0.5 Hz? |
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| 4 |  |  A wave has a wavelength of 30 m. What would be the wavelength of the wave if its frequency were doubled but its speed remained constant? |
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| 5 |  |  What is the frequency of electromagnetic radiation that has a wavelength of 0.4 m? In what part of the spectrum does this radiation occur? |
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| 6 |  |  What is the wavelength of electromagnetic radiation that has a frequency of 3 x 1016 Hz? In what part of the spectrum does this radiation occur? |
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| 7 |  |  Saturn is ten times farther from the Sun than is the Earth. How does the flux of solar energy at Saturn compare with that at the Earth? |
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| 8 |  |  How close to the Sun would a spacecraft have to go to reach the distance at which the flux of solar energy is 20 times as large as the solar energy flux at the Earth? |
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| 9 |  |  Radio waves from a star are observed at a wavelength of 20.02 cm. If the star and the Earth were motionless with respect to each other, the radio waves would have a wavelength of 20 cm. Are the star and the Earth moving toward or away from each other. How fast are they moving toward or away from each other? |
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| 10 |  |  Suppose atoms at rest emit visible light with a wavelength of 500 nm. At what wavelength would the light from the atoms be observed if the atoms were moving toward the Earth at a speed of 20,000 km/s? |
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| 11 |  |  Photon A has twice the frequency of photon B. How do the energies of the two photons compare? |
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| 12 |  |  The wavelength of an electromagnetic wave is 3 m, and its frequency is 108 Hz. What is the index of refraction of the material through which the electromagnetic wave is passing? |
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| 13 |  |  How does the light-gathering power of a 300-m diameter radio telescope compare to that of a 50-m diameter radio telescope? |
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| 14 |  |  How much larger than a 1-m telescope would another telescope have to be in order to have 1000 times the light-gathering power? |
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| 15 |  |  Two mirrors have the same diameter. One of them has a focal ratio of f/5 and the other f/10. How do the focal lengths of the two mirrors compare? |
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| 16 |  |  A 4-m optical telescope operates at a wavelength of 5 x 10-7 m. How large would an infrared telescope operating at a wavelength of 10-4 m have to be to have the same resolution as the optical telescope? |
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| 17 |  |  What is the magnification of a telescope that has an objective with twice the focal length of its eyepiece? |
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| 18 |  |  About how large would an optical telescope need to be to achieve the angular resolution of the VLBA? |
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