Answer to Question #279259 in Atomic and Nuclear Physics for BIGIRIMANA Elie

Question

A large number of neon atoms are in thermal equilibrium. What is the ratio

of the number of atoms in a 5s state to number in 3p state at (a) 300K; (b)

600K; (c) 1200K? The energy difference between two states is 1.96 eV. (d) at

any of these temperatures, the rate at which a neon gas spontaneously emits

632.8nm radiation is quite low. Explain why?

Answer 1

a)

$n_1=\frac E{kT_1}=75.7,$

b)

$n_2=\frac E{kT_2}=37.9,$

c)

$n_3=\frac E{kT_3}=18.9,$

d)

$\frac{hc}{\lambda}=E+\frac{mv^2}2,\implies$

$v=294~\frac ms .$