Energy directly proportional to frequency

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The energy of a gamma ray photon can be calculated using the formula Energy = hf, where h is Planck's constant (6.6 x 10^{-34} J*s) and the frequency of gamma radiation is 10^{22} Hz. The calculation shows that Energy equals 6.6 x 10^{-12} J. The discussion clarifies that the unit "Hz" can be understood as vibrations per second, which simplifies to s^{-1}. This confirms that the units are consistent, ultimately leading to the conclusion that the energy calculation is correct. Understanding the relationship between frequency and energy is essential in quantum physics.
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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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