The fundamental vibrational wavenumbers for $\mathrm{H}_{2}$ and $\mathrm{I}_{2}$ are $4403.2 \mathrm{cm}^{-1}$ and $214.5 \mathrm{cm}^{-1}$, respectively. The relative population of the first excited vibrational states of these two molecules compared to their respective ground states at 300 K are respectively.
(a)$6.75 \times 10^{-1}$ and $3.57 \times 10^{-1}$
(b)$6.75 \times 10^{-1}$ and 3.57 and $3.57 \times 10^{-1}$
(c)$3.57 \times 10^{-6}$ and $6.75 \times 10^{-1}$
(d)$3.57 \times 10^{-1}$ and $6.75 \times 10^{-1}$