Answer to Question #129668 in Quantum Mechanics for Amanpreet Singh

Question

. A thermal neutron has a speed of ν that corresponds to room temperature T=300K. What is the wavelength of a thermal neutron ?

Answer 1

Given

Temperature is $T=300 K$

Mass of neutron is $m=1.67\times10^{-27} kg$

The wavelength of thermal neutrons is

$\lambda=\frac{h}{\sqrt{3mk_BT} }$

$=\frac{6.626\times10^{-34}}{\sqrt{3(1.67\times10^{-27})(1.38\times10^{-23})(300)} }$

$=1.45\times10^{-10} m$