PYQ Bank

Explain how the hydrogen spectrum is used for imaging the universe.

How is Rydberg constant related to emission wavelength of hydrogen spectrum ?

Discuss the rotational fine structure of electronic bands of molecule.

What is nuclear magnetic resonance ? Explain its working principle and use in magnetic resonance imaging systems.

$

How does the Stern-Gerlach experiment explain the concept of electron spin and its angular momentum quantization?

Evaluate the Land'e g-factor for the ^3\mathrm{P}_1 level in the 2p 3s configuration of the ^6\mathrm{C} atom, and then calculate the splitting of the level in eV, when the atom is in an external magnetic field of 0.2 tesla.

Discuss the influence of anharmonicity on the vibrational spectra of diatomic molecules with necessary diagrams.

What is vector model of the atom? On the basis of it, explain the L-S and j-j coupling under external magnetic field.

An atomic state is denoted by ^4\mathrm{D}_{5/2}. What should be the minimum number of electrons involved for this state? Give a possible electron configuration.

What is Lande's g factor ? Evaluate the Lande's g factor for the {}^3P_1 level in the 2p3s configuration of the {}^6\text{C} atom. Also calculate the splitting of the level when the atom is placed in an external magnetic field of 0\cdot 1\text{ tesla}.

What is vector atom model ? How the principal features of vector atom model were explained by Stern-Gerlach experiment ?

What is Raman effect ? Explain Quantum theory of Raman effect and Rotational Structure of a Raman spectrum.

If an atom is placed in a magnetic field of strength 0\cdot 1\text{ weber/m}^2, then calculate the rate of precession and torque on an electron with l=3 in the atom. Given that the magnetic moment of the electron makes an angle of 30^\circ with the magnetic field.

A beam of hydrogen atoms emitted from an oven at 400\text{ k} is sent through a Stern-Gerlach experiment having magnet of length 1\text{ m} and a gradient field of 10\text{ tesla/m}. Calculate the transverse deflection of an atom at the point where the beam leaves the magnet.

(i) Homonuclear diatomic molecules do not give any pure rotational or vibrational spectra, whereas they do give a rotational Raman spectra. Comment. (ii) The separation between the adjacent rotational Raman lines is 4B in hydrogen molecule, whereas in oxygen molecule it is 8B. Why?

Often the intensity of rotational transition J = 0 \to J = 1 is not the most intense. Explain.

Distinguish between normal and anomalous Zeeman effects. Explain the Zeeman pattern of the resonance (D_1, D_2) lines of sodium.

The quantum numbers of the two optical 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 j-j coupling, find the possible values of J.

An atomic state is denoted by {}^4D_{5/2}. Find the values of L, S and J. For this state, what should be the minimum number of electrons involved? Suggest a possible electronic configuration.