What Wavelength Does a 100mW Laser Deliver 3.5x10^17 Photons in One Second?

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SUMMARY

The discussion focuses on calculating the wavelength of a 100mW laser that delivers 3.5 x 1017 photons in one second. The relevant equations include E = hf and Power = Energy / Time. The user attempts to calculate energy using the formula Energy = Power * Time, resulting in an energy value of 3.5 x 1016 joules. The wavelength is then derived using the equation n = hc / E, leading to a calculated wavelength of 5.65 x 10-42 meters, which indicates a potential error in the energy calculation.

PREREQUISITES
  • Understanding of Planck's constant (h = 6.626 x 10-34 J·s)
  • Knowledge of the speed of light (c = 3 x 108 m/s)
  • Familiarity with the relationship between power, energy, and time
  • Basic grasp of photon energy calculations
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  • Review the derivation of photon energy using E = hf
  • Investigate the implications of incorrect energy calculations on wavelength results
  • Explore the concept of laser power and its relation to photon emission
  • Learn about the significance of wavelength in laser applications
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Students in physics or engineering, educators teaching optics, and anyone interested in laser technology and photon calculations.

Jethom18
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Homework Statement



At what wavelength does a 100mW laser deliver 3.5 x 1017 photons in one second?
h (plancks) = 6.626x 10^-34
c = 3 x 10^8

Homework Equations



E = hf ==> E = hc / n (wavelength) ==> n = hc / E
Power = Energy / Time

The Attempt at a Solution



Energy = Power * Time ==> (100x10^-3 W)(3.5x10^17 photons)(1 second) = 3.5x10^16
n = hc / E ==> (3x10^8)(6.626x10^-34) / (3.5x10^16) = 5.65 x 10 ^-42 m

I think I calculated energy incorrectly, but I don't know any other formula I could use. Any help is appreciated..

Thanks!
 
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So 1 photon has an energy of (hc/λ )

3.5 x 1017 photons will have how much energy?
 

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