A nitrogen molecule in its $($vibrationalground state absorbs a photon and jumps to the first excited state. The molecule has avibrational frequency of $8\mathrm{.}21$ x $103]$ and a reduced mass of u $=1\mathrm{.}1621$x$10-26$ kg$.$ Find $($a$)$ the energy of the absorbed photonand $($b$)$ the spring constant k for the molecular bond.