Answer to Question #218575 in Quantum Mechanics for shakes

Question

In early version of double slit experiment discussed,carnal and mlynek use helium atoms ( from reservoir maintained at 295k) that exit the nozzle after expansion with wavelength = 0.56 A (a) what is the speed of the helium atoms

Answer 1

$E_1=E_2+E_3,$

$\frac{mv^2}{2}=\frac{hc}{\lambda}+\frac{3kT}2,$

$v=\sqrt{\frac{2hc+3k\lambda T}{m\lambda}},$

$v=1.034\cdot 10^6~\frac ms.$