phys0001_assignment02 - -3 m K What is the peak wavelength...

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Assignment 2 Due date: November 6, 2009 1) a) Using the formula (wavelength) x (frequency) = c, prove that (original frequency - observed frequency) / observed frequency = v/c for a Doppler shifted source of EM wave. b) Look up the frequency of the H-alpha line. c) The observed frequency of the H-alpha line of a star is 4.51x10 14 Hz. What is its radial speed relative to us? 2) a) An artificial satellite is orbiting around the Sun in an elliptical orbit. Will it attain its maximum orbital speed when it is farthest away from the Sun? b) The distance between its perihelion and aphelion is 10 A.U. What is its orbital period in term of years? 3) a) The Wien's displacement law states that the peak of a black body spectrum is inversely proportional to its temperature, (wavelength) x (temperature) = 2.9x10
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Unformatted text preview: -3 m K What is the peak wavelength of the EM waves radiated by a human? Is it visible light, or what is it? b) Look up the surface temperature of the Sun. What is its peak wavelength? 4) The apparent magnitude of the full moon is about -12.5. The brightness of the new moon is about 12% of the full moon. What is its apparent magnitude? 5) a) If Star A is 30 times brighter than Star B, what's the difference between the magnitudes of A and B, m A-m B ? b) If the detection limit of a 5 m ground-based telescope is 23 and the detection limit of the Hubble Space Telescope is 29. How many times brighter is the dimmest star that the ground-based telescope can detect than the dimmest star that the Hubble Space Telescope can detect?...
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