Energy directly proportional to frequency

In summary, the energy of a gamma ray photon can be calculated using the equation Energy = hf, where h is Planck's constant and f is the frequency of gamma radiation. With a frequency of 10^{22} Hz, each photon has an energy of 6.6 x 10^{-12} J. The unit for frequency can also be written as vib/s or s^{-1}.
  • #1
daNAV1GATOR
45
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VERY SIMPLE! Please help! - Energy of a gamma ray photon...

Homework Statement



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


Homework Equations



Energy = hf

The Attempt at a Solution



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

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

What happens to the 'vibration' unit?
(note: I changed the Hz to vib/s. Is that correct?)
 
Last edited:
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  • #2
Hz = 1/sec

J*sec*Hz = (J*sec)/sec = J (Energy)
 
  • #3
Thank you!
 
  • #4
Well a vibration per second is the same as just saying [itex]s^{-1}[/itex] I guess...why? Not too sure.
 

Related to Energy directly proportional to frequency

1. What is the relationship between energy and frequency?

The relationship between energy and frequency is that they are directly proportional. This means that as the frequency of a wave increases, so does its energy.

2. How is energy related to the frequency of a wave?

Energy and frequency are directly proportional, meaning that an increase in frequency results in an increase in energy. This relationship can be seen in the equation E = hν, where E is energy, h is Planck's constant, and ν is frequency.

3. Does energy increase or decrease with frequency?

Energy increases as frequency increases. This is because the energy of a wave is directly proportional to its frequency.

4. What is the significance of energy being directly proportional to frequency?

The direct proportionality between energy and frequency is a fundamental law of nature that helps us understand the behavior and properties of waves. It also allows us to make predictions and calculations about the energy and frequency of a wave.

5. How does the energy of a wave change with frequency?

The energy of a wave increases as the frequency increases. This means that waves with higher frequencies carry more energy than those with lower frequencies.

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