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

What is the de Broglie wavelength of a neutron whose kinetic energy is equal to the average kinetic energy of a gas of neutrons at temperature T = 17 K?

2. Relevant equations

lambda = h/p = h/mv.

3. The attempt at a solution

Well first I tried taking the h = 6.63E-34 Jxs and dividing it by the mass times the square root of T = 17 K

Thus,

(6.63E-34)/(1.6E-27 kg)(sqrt(17)) x (1E9 m) = 100.500 nm.

I did this because we know from kinetic theory that T is proportional to the root mean square velocity v in the gas, so that v scales as sqrt(T). This means that the momentum scales in the same way, while the wavelength as 1/sqrt(T).

I'm not sure where to go from here, since the answer is not correct. =/

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: De Broglie wavelength of a neutron

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