00:01
Hello students, we have a question on boltzmann distribution.
00:03
We know that according to boltzmann distribution formula, the ratio of population densities of two levels is given by n2 by n1 and this is equal to e raised to the power delta e that is the difference of energy between two levels divided by kt.
00:26
K here is boltzmann constant its value is 1 .38 multiplied by 10 raised to the power minus 23 joules per kelvin.
00:39
Now since k is in terms of joule but energy is given in terms of centimeter inverse so we will have to convert centimeter inverse into joule first.
00:54
We know that one centimeter inverse energy is equal to approximately 2 multiplied by 10 raised to the power minus 23 joules therefore 300 centimeter will be equal to approximately 2 multiplied by 300 multiplied by 10 raised to the power minus 23 joules.
01:21
This will be approximately equal to 600 multiplied by 10 raised to the power 23 joules.
01:29
Now we have been told that population of upper state is half than the other so n2 is given half of n1.
01:41
If we put this value of n2 here this expression will become half n1 divided by n1 and this will be equal to e raised to the power.
01:54
Now delta e is equal to 600 multiplied by 10 raised to the power minus 23...