Find Tmin for J=1 to J=0 and J=2 to J=1

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To find Tmin for transitions J=1 to J=0 and J=2 to J=1, the equation Tmin=√h(J+1)/2k is provided. The user is confused about how to apply the equation since it only includes one J value, yet two transitions are specified. The discussion clarifies that Tmin needs to be calculated for both transitions separately. It is noted that determining minimum or maximum values typically involves setting the first derivative of the function to zero. Understanding the physical process behind the equation is also a point of inquiry.
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1. Find Tmin (minimun temp) for J=1→J=0 and J=2→J=1
2. I was given the equation, Tmin=√h(J+1)/2k
3. This is probably really simple, but I don't understand the J=1→J=0 and in the equation there is only one J. I'm just not sure what to do, any help would be nice! Thank you!
 
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What physical process does this equation refer to?
It seems you need to find the minimum temperature for 2 regions.
1 for J from 1 to 0 and the other for J from 2 to 1.
Normally one determine a minimum/maximum value of a function by setting the first derivative equal to 0.
 

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