PYQ Bank

Calculate the number of permitted electrons in a sub-shell and a shell in an atom.

Why are ^{12}\text{C} and ^{16}\text{O} nuclei not suitable for the study of NMR?

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Explain how Pauli's exclusion principle helps in determining the electronic configuration in a many-electron system.

Explain why the rotational transition J = 0 \rightarrow J = 1 is often not the most intense.

The OH-radical has a moment of inertia of 1\cdot 48 \times 10^{-46}\text{ kg}\cdot\text{m}^2. For J = 6, calculate its angular velocity and angular momentum. Find the energy absorbed in the J = 6 \rightarrow J = 7 transition.

Why does the electron paramagnetic resonance (EPR) spectroscopy utilize the microwave region of the electromagnetic spectrum, while nuclear magnetic resonance (NMR) uses radio waves?

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Why can the experimental observation of the Lamb shift not be explained by the Dirac theory?

Why is the relaxation process so important in nuclear magnetic resonance (NMR)?

What are hot bands in vibrational spectroscopy? Why are they called so?

If ^{11}\text{Na} atoms in their ground state are placed in a region having electromagnetic radiation of frequency \nu = 1\cdot 0 \times 10^{10}\text{ Hz}, calculate the required magnetic field B at which the electromagnetic radiation will be in resonance with the Zeeman splitting.

Draw the normal Zeeman pattern for {}^1\text{F}_3 - {}^1\text{D}_2 transition.

Why were silver atoms used in Stern-Gerlach experiment? Also, write the importance of this experiment.

Write the electronic configurations for carbon (C), nitrogen (N) and oxygen (O) atoms, and then derive their ground states.

The quantum numbers of two electrons in a two-valence electron atom are n_1 = 6, \quad l_1 = 3, \quad s_1 = \frac{1}{2} n_2 = 5, \quad l_2 = 1, \quad s_2 = \frac{1}{2} Assuming L\text{-}S coupling, find the possible values of L and J.

Experimental observation for the line spectrum of an atom shows that the separations between adjacent energy levels of increasing energy in a multiplet are in the ratio 3:5. By using the Landé interval rule, assign the quantum numbers L, S and J to these levels.

Find out the difference in frequencies of Lyman-alpha line in hydrogen and deuterium atoms.

The Stern-Gerlach experiment is a landmark experiment in quantum mechanics. Discuss about the most important findings of this experiment.