The star Vega has an average surface temperature of 10,000 K. Calculate the freq

Question

The star Vega has an average surface temperature of 10,000 K. Calculate the frequency of maximum emission (in Hz) of Vega. (use the necessary equation(s) from attached sheet)

EQUATIONS AND CONSTANTS Inverse Square Law: Eu d E2 d where E irradiance Wm d distance between two bodies Stephan-Boltzmann's Law: For a blackbody: E -OT4 where T temperature (K) Average irradiance for a spherical, rotating planet that is not a blackbody: 4EOT4 where a albedo E emissivity Wien's Law 2897 (uk) MAKE T (K) where NMAX wavelength at which maximum emission of radiation occurs Planck's Law: Cern)-1 where cl and c2 are constants, is wavelength and Tis temperature ce on a horizontal surface (ER: Irradian EH-Eet, siny Eet Cosz where v is the elevation angle (or altitude) of the sun, Zis the sun's zenith angle, is the transmissivity, and E is the solar constant Irradiance of a sphere: W Radiant Flux. [W] Irradiance 4r it [m ml where r is the radius of the emitting body. Speed of light: c wavelength x frequency

Explanation / Answer

Maximum wavelength can be calculated by wein's law:

= 2897/10000 = 0.2897 *10-6 m

frequency = c/ wavelength = 3*108*107/ 2.897 = 10.35 *1015 Hz

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