When two quantum energy levels,E1and E2 of an atom are separated by an energy gap AE=E E1, and a large number of such atoms are in thermal equilibrium at temp T, then the relativ number of atoms Ni and N2 in the two energy levels are given by the Boltzmann ratio AE =e kT, Evaluate this ratio for the following cases:- a) transition occurs at the frequency of 3100MHZ,and the T=300k.What is the fraction: N2-N1 -? population difference N1 B) calculate the Boltzmann ratio for X = 5500Å and T=300K. c) What temperature required to make N2 equal to 8% N, in part в ?

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When two quantum energy levels,E1and E2 of an atom are separated by an energy gap AE=E2-
E1, and a large number of such atoms are in thermal equilibrium at temp T, then the relative
N2
number of atoms Ni and N2 in the two energy levels are given by the Boltzmann ratio
N1
AE
=e kT, Evaluate this ratio for the following cases:-
a) transition occurs at the frequency of 3100MHZ,and the T=300k.What is the fractional
N2-N1 -?
population difference
N1
B)
calculate the Boltzmann ratio
for X = 5500Å and T=300K.
c) What temperature required to make N2 equal to 8% N, in part
в ?
Transcribed Image Text:Q4 When two quantum energy levels,E1and E2 of an atom are separated by an energy gap AE=E2- E1, and a large number of such atoms are in thermal equilibrium at temp T, then the relative N2 number of atoms Ni and N2 in the two energy levels are given by the Boltzmann ratio N1 AE =e kT, Evaluate this ratio for the following cases:- a) transition occurs at the frequency of 3100MHZ,and the T=300k.What is the fractional N2-N1 -? population difference N1 B) calculate the Boltzmann ratio for X = 5500Å and T=300K. c) What temperature required to make N2 equal to 8% N, in part в ?
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