Energy directly proportional to frequency

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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?)
 
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Hz = 1/sec

J*sec*Hz = (J*sec)/sec = J (Energy)