On the definition of width in Doppler broadening problems.

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Isomorphism
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The following question has stumped me. I am not getting the answer marked. Instead I am getting option a). I have produced my attempt below.

Also I have no idea which formula to use when the question says Doppler width. Since frequencies form a distribution, there are multiple notions of width. Is there a standard notion for the term Doppler width in broadening problems?

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Thanks
 
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Isomorphism said:
The following question has stumped me. I am not getting the answer marked. Instead I am getting option a). I have produced my attempt below.

Also I have no idea which formula to use when the question says Doppler width. Since frequencies form a distribution, there are multiple notions of width. Is there a standard notion for the term Doppler width in broadening problems?
You use the one most appropriate to the context.
Have you seen: http://hyperphysics.phy-astr.gsu.edu/hbase/atomic/broaden.html
 
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I see what you mean. It will have to depend on the course the test was for.