Suppose a star with radius 8.44 x 10^8 m has a peak wavelength of 677 nm...
Suppose a star with radius 8.44 x 10^8 m has a peak wavelength of 677 nm in the spectrum of its emitted radiation.
(a) Find the energy of a photon with this wavelength.
J/photon
(b) What is the surface temperature of the star?
K
(c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1).
W
(d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star.
photons/s
Homework Answers
(A) energy of photon = hc/
= 6.626*10^-34*3*10^8 / 677*10^-9
= 2.93*10^-19 J/photon
(b) using wein's displacement law we have
max
*T = 2898*10^-6 m
677*10^-9*T = 2898*10^-6
T= 4280.65 K
(C) rate at which energy is radiated = 
AT^4
= 4pi*r^2T^4
= 5.67*10^-8*4pi*(8.44*10^8)^2 * ( 4280.65)^4
= 1.7*10^26 W
(D) no. of photons per second = 1.7*10^26 / 2.93*10^-19
= 5.8*10^44
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