How Many Photons Does the Sun Emit Daily?

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Homework Help Overview

The problem involves calculating the number of photons emitted by the sun daily, given its energy output and the wavelength of yellow light. The context is within the realm of quantum mechanics and photon energy calculations.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the energy of a photon using the formula E = hf and expresses uncertainty about how to proceed with determining the total number of photons emitted. Some participants provide feedback on the calculations and question the units used in the proposed answer.

Discussion Status

Participants are engaged in clarifying the calculations related to photon energy and the total energy output. There is an ongoing exploration of the correct approach to find the number of photons, with some guidance provided regarding unit consistency.

Contextual Notes

The original poster's calculations are based on assumptions about the wavelength of light and the total energy emitted by the sun, which may influence the interpretation of the results. There is a noted confusion regarding the units in the calculations presented.

jpartdq
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Homework Statement


The sun emits 3x1032J of energy every day. Assume it emits only yellow light (6x10-7m wavelength. a. What is the energy of each photon of yellow light? b. How many photons does the sun emit every day?


Homework Equations



E = hf

The Attempt at a Solution


So I think I have question A complete, my solution is the following.
F = (3x108 m/s)/(6x10-7 m) = 5x1014 Hz
H = (6.6x10-34Js)
E=h*f (6.6x10-34Js)(5x1014Hz) = 3.3x10-19 J
Or E = 2 eV

But problem B I am stumped. I don't even know where to begin to figure this out. Can anyone help put me in the right direction?
 
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You computed the energy of a single photon in J. You have the total energy output of the sun (n photons) in a day also in J. You seem pretty close to an answer.
 
So the answer is 9.9x1013 photons?
 
If you multiply 3x1032J and 3.3x10-19 J/photon, the result is 9.9x10^13 J2/photon.

Those units, J2/photon, do not make any sense. So no, that is not it.

Since the question asks for the number of photons, you're looking for an answer with units of "photons" in it.
 

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