# Energy directly proportional to frequency

## 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.

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:

Hz = 1/sec

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

Thank you!

rock.freak667
Homework Helper
Well a vibration per second is the same as just saying $s^{-1}$ I guess...why? Not too sure.