Energy directly proportional to frequency

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SUMMARY

The energy of a gamma ray photon with a frequency of 1022 Hz can be calculated using Planck's constant (h = 6.6 x 10-34 J*s) with the formula Energy = hf. The calculation yields an energy of 6.6 x 10-12 J. The discussion clarifies that the unit 'vibration' is equivalent to Hz, confirming that Hz is a measure of cycles per second, which simplifies to s-1.

PREREQUISITES
  • Understanding of Planck's constant and its value (6.6 x 10-34 J*s)
  • Knowledge of the formula for calculating energy (Energy = hf)
  • Familiarity with frequency units (Hz and its equivalence to s-1)
  • Basic grasp of unit conversion in physics
NEXT STEPS
  • Study the implications of Planck's constant in quantum mechanics
  • Explore the relationship between frequency and energy in different types of electromagnetic radiation
  • Learn about the applications of gamma rays in medical imaging and radiation therapy
  • Investigate advanced topics in quantum physics, such as photon behavior and wave-particle duality
USEFUL FOR

Students in physics, educators teaching quantum mechanics, and professionals in fields related to radiation and energy calculations will benefit from this discussion.

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VERY SIMPLE! Please help! - Energy of a gamma ray photon...

Homework Statement



The frequency of gamma radiation is 10^{22} Hz. What is the energy of each gamma ray photon?
Planck's constant, h, is equal to 6.6 x 10^{-34} J*s.


Homework Equations



Energy = hf

The Attempt at a Solution



I'm having a problem with the units...

Energy = (6.6 x 10^{-34} J*s)(10^{22} Hz)
= (6.6 x 10^{-34} J*s)(10^{22} vib/s)
= (6.6 x 10^{-34} J)(10^{22} vib)
= 6.6 x 10^{-12} J

What happens to the 'vibration' unit?
(note: I changed the Hz to vib/s. Is that correct?)
 
Last edited:
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Hz = 1/sec

J*sec*Hz = (J*sec)/sec = J (Energy)
 
Thank you!
 
Well a vibration per second is the same as just saying s^{-1} I guess...why? Not too sure.
 

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