The three principal moments of inertia of a methanol (CH3OH) molecule have the property $${I_x} = {I_y} = I$$ and $${I_z} \ne I.$$ The rotational energy eigenvalues are
A. $$\frac{{{\hbar ^2}}}{{2I}}l\left( {l + 1} \right) + \frac{{{\hbar ^2}m_l^2}}{2}\left( {\frac{1}{{{I_z}}} - \frac{1}{I}} \right)$$
B. $$\frac{{{\hbar ^2}}}{{2I}}l\left( {l + 1} \right)$$
C. $$\frac{{{\hbar ^2}m_l^2}}{2}\left( {\frac{1}{{{I_z}}} - \frac{1}{I}} \right)$$
D. $$\frac{{{\hbar ^2}}}{{2I}}l\left( {l + 1} \right) + \frac{{{\hbar ^2}m_l^2}}{2}\left( {\frac{1}{{{I_z}}} + \frac{1}{I}} \right)$$
Answer: Option A
This Question Belongs to Engineering Physics >> Atomic And Molecular Physics
All vibrations producing a change in the electric dipole moment of a molecule yield
A. Raman spectra
B. Infrared spectra
C. Ultra-violet spectra
D. X-ray spectra
A. $$\frac{{3{g_1}e{H_0}}}{{2\pi {m_p}}}$$
B. $$\frac{{3{g_1}e{H_0}}}{{4\pi {m_p}}}$$
C. $$\frac{{{g_1}e{H_0}}}{{2\pi {m_p}}}$$
D. $$\frac{{{g_1}e{H_0}}}{{4\pi {m_p}}}$$
A. P and Q
B. P, R and T
C. P, S and T
D. Q and R
The hyperfine structure of Na(32P3/2) with nuclear $$l$$ = 3/2 has
A. 1 state
B. 2 states
C. 3 states
D. 4 states
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