Physics · Statistical Mechanics

A rigid molecule can have two possible rotational states: j = 0 or j = 1. Its rotational energies are given by εj = ℏ22I j(j + 1), where I is its moment of inertia. For an ensemble of such molecules in thermal equilibrium at temperature T, the ratio of the number of molecules in the j = 1 state (N1) to those in the j = 0 state (N0) is N1N0 = 0.003. The temperature T (in units of ℏ22IkB, where kB is the Boltzmann constant) is closest to: