Suppose a star with radius 8.61 times 108 m has a peak wavelength of 686 nm in t

Question

Suppose a star with radius 8.61 times 108 m has a peak wavelength of 686 nm in the spectrum of its emitted radiation. Find the energy of a photon with this wavelength. J/photon What is the surface temperature of the star? At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W Using the answer to part (a), estimate the rate at which photons leave the surface of the star. Your response is within 10% of the correct value. This may be due to round off error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize round off error. photons/s

Explanation / Answer

c)

A=4pir^2 =4pi*(8.61*10^8)^2

A=9.3*10^18 m^2

P=sigma*A*e*T^4

P=(5.67*10^-8)*9.3*10^18*1*4224.5^4

P=1.68*10^26 W

d)

P=nE/t

=>n/t =P/E =1.68*10^26/(2.899*10^-19)

n/t =5.8*10^44 photons/s

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