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Homework #5, AST 3018, FAll 2011

# Homework #5, AST 3018, FAll 2011 - observe radio waves of...

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AST 3018 HOMEWORK #5 DUE 10/25/11 1. If the emitted infrared radiation from Pluto has a wavelength of maximum intensity at 0.005 cm, what is the temperature of Pluto? 2. The Lyman alpha line (λ = 1216 Å) is observed in a very deep space object (quasar) to be 5518 Å. What is its radial velocity with respect to us? 3. If the Moon can be photographed in one second with a telescope of 50-cm aperture and 100-cm focal length, how long a time would be required to photograph the Moon with a telescope of 100-cm aperture and 400-cm focal length? 4. What is the smallest angle that could theoretically be resolved by a 5-m telescope at a wavelength of 5000 Å? 5. If the Grand Canary Telescope (aperture 10.4 meters) were used as a radio telescope to
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Unformatted text preview: observe radio waves of 20-cm wavelength, how accurately could it locate the direction of a radio source? 6. If an incandescent light bulb has a luminosity L = 60 W and a filament temperature of T = 2900 K, what must be the surface area of its filament? If the filament consists of cylindrical wire with diameter d = 4.6 x 10-5 m (as in a standard incandescent 60 watt, 120 volt bulb), what is the length of the wire? 7. Verify that the Maxwell-Boltzmann distribution: F(v) dv = 4π (m/2πkT) 3/2 v 2 exp (-mv 2 /2kT) dv has its maximum at a speed v p = (2kT/m) 1/2 . 8. Show that the equation z = Δλ/λ = (1 + v r /c) 1/2 (1 – v r /c)-1/2 – 1 becomes z = Δλ/λ = v r /c if v r /c << 1....
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