Planck's constant

Key Questions

  • Why is Planck's Constant important?

    Answer:

    Planck's constant is instrumental and an unavoidable constant which appears in quantum mechanics.

    Explanation:

    Even though it was first introduced in the Planck's law,

    u_(lamda)d(lamda) = (8pihc)/lamda^5*(dlamda)/(e^((hc)/(lamdakT))-1)

    Where one quantum of radiation would have an energy, E = (hc)/(lamda), the concept of quantized radiation was extended by Einstein, later by Bohr in their theories as a part of the old quantum theory.

    Today almost all important relationships in quantum mechanics, contain Planck's constant (or the reduced Planck's constant h/(2pi)).

    Examples would include,

    1) de Broglie relation -
    lamda = h/p

    2) Schrodinger equation -

    (ih)/(2pi)(delpsi)/(delt) = -(h^2)/(8pi^2m)(nabla)^2psi + V(vec r,t)psi

    3) Commutator of x and p_x -

    [x,p_x] = (ih)/(2pi)

    And so on.

    It is to quantum mechanics, what the constants epsilon_0 and mu_0 are to Electricity and Magnetism.

    Aritra G. · 3 · Jun 6 2017
  • What is Planck's constant?

    Answer:

    Planck's constant is h~~6.63*10^-34 \ "J"*"s".

    Explanation:

    Planck's constant, in science, is denoted by h, and is given the value of

    h~~6.63*10^-34 \ "J"*"s"

    Note that 1 \ "J"=1 \ "N"*"m"

    =1 \ "kg"*"m/s"^2*"m"

    =1 \ "kg"*"m"^2"/s"^2

    And so, we can rewrite h as

    h~~6.63*10^-34 \ "kg"*"m"^2"/s"^2*"s"

    =6.63*10^-34 \ "kg"*"m"^2*"s"^-1

    This is one of the smallest constants in physics, and gives the relationship between a photon's energy and its frequency.

    Source: https://en.wikipedia.org/wiki/Planck_constant

    Nam D. · 2 · Mar 16 2018

Questions

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