Diatomic molecules — UPSC IFoS 2023 Physics PYQ

The rotational and centrifugal distortion constants of a diatomic molecule are 10\cdot 59\text{ cm}^{-1} and 5\cdot 3 \times 10^{-4}\text{ cm}^{-1}, respectively. Obtain an estimate each for the vibrational frequency and force constant of the molecule. [\text{Given } : \text{The reduced mass of the molecule is } 1\cdot 626 \times 10^{-27}\text{ kg}]