Why Do Units on Plank's Constant Include Mass, Length, and Time?

  • Level: Undergrad 
  • Thread starter nhmllr
  • Start date
  • Tags Tags
    Constant Units
1 reply · 3K views · last reply
nhmllr
Messages
183
Reaction score
1
The units on Plank's constant is m^2 * kg / s
I'm new to all of this stuff so... Why?
 
Because when people devised units, they didn't realize that there are equivalence relationships between length, mass and time.

But to more directly answer your question, Planck's constant really has units of (energy)(time). To see this, note that Planck's constant can be defined by the ratio of the energy and frequency of a photon :

[tex]h= \frac{E}{\nu}.[/tex]

In order to explain the relationship of energy to units of mass, length and time, you might want to consider basic formulae from classical mechanics.