Quantum Physics: Calculating Photons/s

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SUMMARY

The incandescent light bulb consuming 75 W emits visible light at a wavelength of 597 nm, with a frequency of 5.02e+14 Hz. The energy per photon is calculated using the equation E = hf, yielding 3.3297e-19 J/photon. Considering that only 5% of the total energy is emitted as visible light, the correct calculation for photons emitted per second is (75 J/s) * 0.05 / (3.3297e-19 J/photon), resulting in 1.125e21 photons/s. The initial miscalculation stemmed from neglecting the 5% efficiency factor.

PREREQUISITES
  • Understanding of Planck's equation (E = hf)
  • Knowledge of the relationship between power, energy, and time
  • Familiarity with the concept of photon energy
  • Basic grasp of wavelength and frequency in electromagnetic radiation
NEXT STEPS
  • Study the implications of light efficiency in incandescent bulbs
  • Explore the relationship between wavelength, frequency, and energy in quantum physics
  • Learn about the calculation of photon flux in different light sources
  • Investigate the principles of energy conversion in electrical devices
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in the quantification of light emissions from incandescent sources.

TJDF
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Homework Statement



I have another question,
An incandescent light bulb consuming 75 W emits only 5% of this energy as visible light of wavelength 597 nm; the frequency of the emitted light is 5.02e+14 Hz. How many photons per second of this light does the bulb emit?

Homework Equations



E = hf

The Attempt at a Solution



E = (6.626068e-34)x(5.02513e14 Hz)= 3.3297e-28 J/photon

75 W = 75 J/s

(75 J/s)/(3.3297e-28 J/photon) = 2.252e29 photon/s

but... I'm wrong... I don't know why.
 
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oops... 3.3297e-28 is actually 3.3297e-19...

but that gives me 2.252e20 photons/s, which is still marked as incorrect, am I still missing something?
 
oops, forgot the 5%, got it now.
 

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