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In class we showed an animated map of the Milky Way HI data as seen in individual velocity slices of 21cm emission. What frequency resolution would be needed to observe the 21cm line with a velocity resolution of 0.2 km/s? Give your response in kHz, to two decimal places.

In class we showed an animated map of the Milky Way HI data as seen in individual velocity slices of 21cm emission. What frequency resolution would be needed to observe the 21cm line with a velocity resolution of 0.2 km/s? Give your response in kHz, to two decimal places.

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For each problem, use the following values: c = 3x108 m/s mass of the sun = 1.989 x 1030 kg luminosity of the sun = 3.828 x 1026 W 1 AU = 1.496 x 1011 m 1 pc = 3.262 light years = 3.086 x 1016 m 1 year=3.154x107 seconds Critical density of our Universe (expressed as a mass density): Pcrit =8.7 x 10.27 kg m-³ Critical energy density of our Universe: Ecrit = Pcrit c² G=6.674 × 10-11 m³.kg-1.s-2 1 eV = 1.60218 x10-19. Boltzmann constant: kg = 1.381 x 10-23 JK-18.617 × 10-5 eV K-1 energy density constant (in Stefan Boltzmann Law): a = 7.566 x 10-16 Jm-3 K-4 -4.7 x 10-³ MeV m-3 K-4 Constant in Wein displacement law: b = 2.898 x 10-3 m K baryon-to-photon ratio, n= 6 x 10-10
Transcribed Image Text:For each problem, use the following values: c = 3x108 m/s mass of the sun = 1.989 x 1030 kg luminosity of the sun = 3.828 x 1026 W 1 AU = 1.496 x 1011 m 1 pc = 3.262 light years = 3.086 x 1016 m 1 year=3.154x107 seconds Critical density of our Universe (expressed as a mass density): Pcrit =8.7 x 10.27 kg m-³ Critical energy density of our Universe: Ecrit = Pcrit c² G=6.674 × 10-11 m³.kg-1.s-2 1 eV = 1.60218 x10-19. Boltzmann constant: kg = 1.381 x 10-23 JK-18.617 × 10-5 eV K-1 energy density constant (in Stefan Boltzmann Law): a = 7.566 x 10-16 Jm-3 K-4 -4.7 x 10-³ MeV m-3 K-4 Constant in Wein displacement law: b = 2.898 x 10-3 m K baryon-to-photon ratio, n= 6 x 10-10
In class we showed an animated map of the Milky Way HI data as seen in individual velocity slices of 21cm emission. What frequency resolution would be needed to observe the 21cm line with a velocity resolution of 0.2 km/s? Give your response in kHz, to two decimal places.
Transcribed Image Text:In class we showed an animated map of the Milky Way HI data as seen in individual velocity slices of 21cm emission. What frequency resolution would be needed to observe the 21cm line with a velocity resolution of 0.2 km/s? Give your response in kHz, to two decimal places.
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