Which of these does Planck's constant depend on?

1 Answer
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.