Question

Average energy of planck oscillator derivation

Answer 1

Planck's law describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T. It is a pioneering result of modern physics and quantum theory.

Answer 2

Ques. The average energy of Plank's oscillator at an absolute temp T and frequency v is -

a. $hv$

b. $nhv$

c. $E_{avg}=\frac{hv}{e^{hv/KT} -1}$

d. $KT$

Answer:

The correct answer is option c. $E_{avg}=\frac{hv}{e^{hv/KT} -1}$.

Explanation:

The spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a specific temperature T is described by Planck's law. It is an innovative outcome of contemporary physics and quantum theory.

Radiation oscillator is another name for Plank's oscillator.

It is an oscillator that can only absorb or release energy in quantities that are integral multiples of the Planck constant multiplied by the oscillator's frequency.

$E = nhv$

Plank oscillator's average energy: It is the combined energy ($E$) of oscillators and their number (N). It comes from,

A light particle's energy is expressed as $E = hv$ (Photon).

The equation $E = nhv$ shows that energy is quantized. i.e., $hv$'s integral multiple.

$E_{avg}=\frac{hv}{e^{hv/KT} -1}$

$h =$ Plank constant

$v =$frequency of oscillation

$K =$ Boltzmann Constant

$T =$ absolute temperature

Average energy of Plank oscillator is $E_{avg}=\frac{hv}{e^{hv/KT} -1}$.

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