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Energy directly proportional to frequency

  • #1
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:

Answers and Replies

  • #2
5
0
Hz = 1/sec

J*sec*Hz = (J*sec)/sec = J (Energy)
 
  • #3
Thank you!
 
  • #4
rock.freak667
Homework Helper
6,230
31
Well a vibration per second is the same as just saying [itex]s^{-1}[/itex] I guess...why? Not too sure.
 

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