Atomic and Molecular Physics MCQs Question and Answer in Engineering Physics

1.
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

Answer & Solution Discuss in Board Save for Later

2.
A piece of paraffin is placed in a uniform magnetic field H₀. 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 g₁ is the g-factor of the hydrogen nucleus, the frequency at which resonance absorption takes place, is given by

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. $$\frac{{{g_1}e{H_0}}}{{4\pi {m_p}}}$$

Answer & Solution Discuss in Board Save for Later

3.
Consider the following statements about molecular spectra:
P. CH₄ does not give pure rotational Raman lines
Q. SF₆ could be studied by rotational Raman spectroscopy
R. N₂ shows infrared absorption spectrum
S. CH₃CH₃ shows vibrational Raman and infrared absorption lines
T. H₂O₂ shows pure rotational spectrum
Choose the right combination of correct statements.

A. P and Q

B. P, R and T

C. P, S and T

D. Q and R

Answer & Solution Discuss in Board Save for Later

4.
The hyperfine structure of Na(3²P_3/2) with nuclear $$l$$ = 3/2 has

A. 1 state

B. 2 states

C. 3 states

D. 4 states

Answer & Solution Discuss in Board Save for Later

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

A. 3

B. 4

C. 6

D. 5

Answer & Solution Discuss in Board Save for Later

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

A. $${}^3{p_0}$$

B. $${}^4{f_{\frac{9}{2}}}$$

C. $${}^3{f_{\frac{1}{2}}}$$

D. $${}^4{p_{\frac{1}{2}}}$$

Answer & Solution Discuss in Board Save for Later

7.
A system has energy level E₀, 2E₀, 3E₀, . . . . . , where the excited states are triply degenerated. Four non-interacting bosons are placed in this system. If the total energy of these bosons is 5E₀, the number of microstates is

A. 2

B. 3

C. 4

D. 5

Answer & Solution Discuss in Board Save for Later

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

A. 20 cm^-1

B. 40 cm^-1

C. 60 cm^-1

D. 120 cm^-1

Answer & Solution Discuss in Board Save for Later

9.
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 & Solution Discuss in Board Save for Later

10.
The total number of Zeeman components observed in an electronic transition $${}^2{d_{\frac{5}{2}}} \to {}^2{p_{\frac{3}{2}}}$$ of an atom in a weak field is

A. 4

B. 6

C. 12

D. 10

Answer & Solution Discuss in Board Save for Later

Atomic and Molecular Physics MCQs Question and Answer in Engineering Physics

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

Answer & Solution

Answer & Solution

Answer & Solution

4. The hyperfine structure of Na(32P3/2) with nuclear $$l$$ = 3/2 has

Answer & Solution

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

Answer & Solution

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

Answer & Solution

7. A system has energy level E0, 2E0, 3E0, . . . . . , where the excited states are triply degenerated. Four non-interacting bosons are placed in this system. If the total energy of these bosons is 5E0, the number of microstates is

Answer & Solution

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

Answer & Solution

9. 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

Answer & Solution

10. The total number of Zeeman components observed in an electronic transition $${}^2{d_{\frac{5}{2}}} \to {}^2{p_{\frac{3}{2}}}$$ of an atom in a weak field is

Answer & Solution

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

4.
The hyperfine structure of Na(3²P_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 E₀, 2E₀, 3E₀, . . . . . , where the excited states are triply degenerated. Four non-interacting bosons are placed in this system. If the total energy of these bosons is 5E₀, 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

9.
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

10.
The total number of Zeeman components observed in an electronic transition $${}^2{d_{\frac{5}{2}}} \to {}^2{p_{\frac{3}{2}}}$$ of an atom in a weak field is