The bright autumn star Fomalhaut has a temperature of 9600K and the star Mira has a temp of about 2400K. Assuming that both stars have the same size, what is the ratio of the total energy intensity radiated by Fomalhaut compared to that radiated by Mira?
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L is proportional to R^2 T^4
As the radii are equal but T is four times as large, Fomalhaut radiates 4^4=256 times as much energy as Mira.
Required intensity point, I is given by potential of -3 = 10*Log(I/10?¹²) or -0.3 = Log I + 12 or Log I = -12.3 or I = 10^(-12.3) = 5.02*10?¹³ W/m² ninety seven = 10*Log(I/10?¹²) or 9.7 = Log I -12 or Log I = 21.7 or I = 5.02*10²¹ W/m² ability point would not replace with section uncovered or quantity of time for which uncovered. in addition sixty six = 10*Log(I/10?¹²) or 6.6 = Log I -12 or Log I = 18.6 or I = 3.ninety 8*10¹? W/m² ability point would not replace with section uncovered or quantity of time for which uncovered. intensity point calculated in addition supplies 128 = 10*Log(I/10?¹²) or12.8 = Log I -12 or Log I = 24.8 or I = 6.3*10²? W/m² Required capability absorbed = [{6.3*10²? *?*(0.00205)²}*(a million.9*3600)] J = 5.70*10²? J Required frequency = 1157*[a million+(117000)/(3600*332)] Hz = 1270.3 Hz