Is the Book's Photon Calculation Off by a Factor of 1000?

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Discussion Overview

The discussion revolves around a potential discrepancy in a book's calculation regarding the number of photons, specifically whether the book's answer is incorrect by a factor of 1000. Participants also explore the conceptual understanding of photon frequency and its relation to the number of photons emitted.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • One participant questions the book's answer of 2.3*10^{23} for part b, suggesting it may be incorrect or that they might have missed a factor of 1000.
  • Another participant references WolframAlpha, which provides a different value of 2.27*10^{20}, implying a potential error in the book's calculation.
  • A participant expresses a conclusion that the book likely has the wrong answer based on the WolframAlpha result.
  • There is a discussion about the interpretation of the term 'frequency' in the context of photons, with one participant suggesting that it could lead to confusion regarding the number of photons emitted per second versus the frequency of a single photon.
  • Another participant agrees with this interpretation and elaborates that while increasing current can change the number of photons emitted, it does not necessarily affect the frequency, highlighting the distinction between these concepts.

Areas of Agreement / Disagreement

Participants express differing views on the accuracy of the book's calculation, with some suggesting it is incorrect while others reference external sources to support their claims. The discussion on the interpretation of frequency also reveals a lack of consensus on its implications.

Contextual Notes

The discussion includes assumptions about the definitions of frequency and the relationship between emitted photons and power, which are not fully resolved. There are also unresolved mathematical steps regarding the calculations referenced.

Who May Find This Useful

Readers interested in photon calculations, conceptual physics regarding frequency, and those examining discrepancies in textbook problems may find this discussion relevant.

Fluxthroughme
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Part a) is correct, but the book gives me an answer of [itex]2.3*10^{23}[/itex] for part b. Is the book wrong or have I missed a factor of 1000 somewhere?
 
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mfb said:
WolframAlpha gives 2.27*1020 as well.

I'm going to have to conclude the book has the wrong answer, then. Thanks :)
 
goo job...

What did you conclude regarding question [c]?
 
Naty1 said:
goo job...

What did you conclude regarding question [c]?

The answer is no, they are not the same. I am not 100% sure why it is even asking this. As far as I can venture a guess, I would say that the word 'frequency' would make some people think of the number of photons emitted per second, and would thus get it confused. However, the frequency of a photon is of A photon, not a bunch of them. Thus, some might think it meant frequency as it "The frequency with which photons are emitted". This clearly isn't the case, though I can understand there is room for confusion.

Would this be correct? As I say, I'm not 100% sure why this is asked; my answer makes sense to me, but it doesn't seem the kind of thing that needs explaining.
 
That's basically how I would respond...I think the question just aims at verbalizing the math perspectives.

You can easily change the the number of photons emitted, the power radiated,
by increasing the current. Depending on how you look at it, that would increase
the number of photons but not the frequency...at least as posed in this problem.

In the real world, a hotter bulb likely generates a higher frequency wavelength
AND more photons, but they ARE different concepts as you explain.
 

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