(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A collimated beam of thermal neutrons emerges from a nuclear reactor and passes through a speed selector into a detector. The number of neutrons detected in a second with speeds in the range 4000 to 4010 m s−1 is twice as large as the number per second detected with speeds in the range 2000 to 2010ms−1. What is the temperature of the moderator in the nuclear reactor?

2. Relevant equations

3. The attempt at a solution

So the speed distribution is proportional to ##v^3e^{-\frac{v^2}{v_{th}^2}}## so my instinct was to write ##v^3e^{-\frac{v^2}{v_{th}^2}}|_{4000}^{4010}=2v^3e^{-\frac{v^2}{v_{th}^2}}|_{2000}^{2010}## but then i don't know how to solve this.

Many thanks

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# Homework Help: Calculate the temperature of neutrons emerging from a reactor

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