Calculate the population of two states in He-Ne laser produces light of
wavelength 7000 Å at 27oC.
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Given:
wavelength λ = 7000 Å
temperature T = 27°C
To find:
the ratio of the population of two states =?
Step-to-step-Explanation:
- The ratio of the population of two states is given by the Boltzmann distribution formula.
- The Boltzmann distribution formula is as follows:
...(1)
where
= the ratio of the population of two states
ΔE = energy difference between two states
k = Boltzmann constant
T = temperature
- But the energy difference between two states ΔE is given by
where
h = Planck's constant
c = speed of light
λ = wavelength
- Put the given value in the above formula to calculate the energy difference.
ΔE = 3.143 × 10⁻¹⁹ J
- Now, put these values in the above equation (1)
Hence the ratio of the population of two states is 1.1 × 10⁻³³.
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