## 1. All vibrations producing a change in the electric dipole moment of a molecule yield

## 2. A piece of paraffin is placed in a uniform magnetic field H_{0}. The sample contains hydrogen nuclei of mass m_{p}, which interact only with external magnetic field. An additional oscillating magnetic field is applied to observe resonance absorption. If g_{1} is the g-factor of the hydrogen nucleus, the frequency at which resonance absorption takes place, is given by

_{0}. The sample contains hydrogen nuclei of mass m

_{p}, which interact only with external magnetic field. An additional oscillating magnetic field is applied to observe resonance absorption. If g

_{1}is the g-factor of the hydrogen nucleus, the frequency at which resonance absorption takes place, is given by

## 3. Consider the following statements about molecular spectra:

P. CH_{4} does not give pure rotational Raman lines

Q. SF_{6} could be studied by rotational Raman spectroscopy

R. N_{2} shows infrared absorption spectrum

S. CH_{3}CH_{3} shows vibrational Raman and infrared absorption lines

T. H_{2}O_{2} shows pure rotational spectrum

Choose the right combination of correct statements.

P. CH

_{4}does not give pure rotational Raman lines

Q. SF

_{6}could be studied by rotational Raman spectroscopy

R. N

_{2}shows infrared absorption spectrum

S. CH

_{3}CH

_{3}shows vibrational Raman and infrared absorption lines

T. H

_{2}O

_{2}shows pure rotational spectrum

Choose the right combination of correct statements.

## 4. The hyperfine structure of Na(3^{2}P_{3/2}) with nuclear $$l$$ = 3/2 has

^{2}P

_{3/2}) with nuclear $$l$$ = 3/2 has

## 5. The number of hyperfine components observed in the electronic transition $${}^2{p_{\frac{1}{2}}} \to {}^2{s_{\frac{1}{2}}}$$ of an atom with nuclear spin $$\frac{1}{2}$$ is

## 6. The spectral term for the atom with 70% filled subshell and only s = $$\frac{3}{2}$$ is

## 7. A system has energy level E_{0}, 2E_{0}, 3E_{0}, . . . . . , where the excited states are triply degenerated. Four non-interacting bosons are placed in this system. If the total energy of these bosons is 5E_{0}, the number of microstates is

_{0}, 2E

_{0}, 3E

_{0}, . . . . . , where the excited states are triply degenerated. Four non-interacting bosons are placed in this system. If the total energy of these bosons is 5E

_{0}, the number of microstates is

## 8. The far infrared rotational absorption spectrum of a diatomic molecule shows equidistant lines with spacing 20 cm^{-1}. The position of the first stokes line in the rotational Raman spectrum of this molecule is

^{-1}. The position of the first stokes line in the rotational Raman spectrum of this molecule is

## 9. The three principal moments of inertia of a methanol (CH_{3}OH) molecule have the property $${I_x} = {I_y} = I$$ and $${I_z} \ne I.$$ The rotational energy eigenvalues are

_{3}OH) molecule have the property $${I_x} = {I_y} = I$$ and $${I_z} \ne I.$$ The rotational energy eigenvalues are