The first unmanned probe called ”Albert Einstein’s cousin” will reach the stellar system of the Alfa Centauri (estimated radius 5x104 km) in year 2145. The probe will enter stationary orbit of radius R=3.0 x108 km. In order to power itself the probe will convert all of the radiation energy received from the star by its hemispherical antenna (radius=10m). It is estimated that when oriented at a right angle with respect to the incoming radiation, the antenna will collect total power of 3x105W. From this information find the λmax, wavelength for which the Alfa Centauri emits most of its energy

Stars and Galaxies
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ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter7: Atoms And Spectra
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The first unmanned probe called ”Albert Einstein’s cousin” will reach the stellar system of the
Alfa Centauri (estimated radius 5x104
km) in year 2145. The probe will enter stationary orbit of
radius R=3.0 x108 km. In order to power itself the probe will convert all of the radiation energy
received from the star by its hemispherical antenna (radius=10m). It is estimated that when
oriented at a right angle with respect to the incoming radiation, the antenna will collect total power
of 3x105W. From this information find the λmax, wavelength for which the Alfa Centauri emits
most of its energy

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