Which of these does Planck's constant depend on?

1 Answer
Truong-Son N.
Aug 18, 2017

Which what? Well, Planck's constant is... constant. So it should not depend on any variable. It is:

h = 6.62607004 xx 10^(-34) "J"cdot"s"

Common equations where you would see Planck's constant are:

  • E_"photon" = hnu = (hc)/lambda, " " (Planck-Einstein Relation)

the energy of a single photon based on its frequency nu. c = 2.99792458 xx 10^(8) "m/s" is the speed of light and lambda is its wavelength in "m".

  • lambda = h/p = h/(mv), " " (de Broglie Relation)

the wavelength of a particle with a mass m and velocity v. p = mv is its linear momentum.

  • DeltaxDeltap >= ℏ/2, " " (Heisenberg Uncertainty Principle)

where ℏ = h//2pi is the reduced Planck's constant.

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