Question
c) Using the expression of Bose-Einstein distribution function for photons
derive Plancks Law and show that (i) Rayleigh-Jeans Law, and (ii) Wien’s Law follow from it at low & high frequencies.
Answer :
Word Count : 377
### Numerical Solution and Derivation of Planck’s Law from Bose-Einstein Distribution for Photons The Bose-Einstein distribution function for photons is given by: \[ \frac{N_v}{g_v} = \frac{1}{e^{\beta h v} - 1} \] where: - \( N_v \) is the number of photons in a given state, - \( g_v \) is the degeneracy of states, - \( h \) is Planck’s constant, - \( v \) is the frequency of the photon, - \( \beta = \frac{1}{k_B T} \), where \( k_B \) is Boltzmann’s constant and \( T \) is temperature. --- ### 1. _________ _________ ________ _________ __________ __________ _________.
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### Numerical Solution and Derivation of Planck’s Law from Bose-Einstein Distribution for Photons The Bose-Einstein distribution function for photons is given by: \[ \frac{N_v}{g_v} = \frac{1}{e^{\beta h v} - 1} \] where: - \( N_v \) is the number of photons in a given state, - \( g_v \) is the degeneracy of states, - \( h \) is Planck’s constant, - \( v \) is the frequency of the photon, - \( \beta = \frac{1}{k_B T} \), where \( k_B \) is Boltzmann’s constant and \( T \) is temperature. --- ### 1. _________ _________ ________ _________ __________ __________ _________.
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