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For the H2 molecule the equilibrium spacing of the two
Chapter 42, Problem 5E(choose chapter or problem)
Problem 5E
For the H2 molecule the equilibrium spacing of the two protons is 0.074 nm. The mass of a hydrogen atom is 1.67 × 10-27 kg. Calculate the wavelength of the photon emitted in the rotational transition l = 2 to l = 1.
Questions & Answers
QUESTION:
Problem 5E
For the H2 molecule the equilibrium spacing of the two protons is 0.074 nm. The mass of a hydrogen atom is 1.67 × 10-27 kg. Calculate the wavelength of the photon emitted in the rotational transition l = 2 to l = 1.
ANSWER:
Introduction
Here we have to first calculate the energy difference between the given two rotational state. Then we have to calculate the wavelength of the photon.
Step 1
The energy of any rotational level is given by
Where is the moment of inertia, and is given by