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Atomic and Molecular Physics
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The separation between the first stokes and corresponding anti-stokes Iines of the rotational Raman spectrum in terms of the rotational constant B

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A vibrational-electronic spectrum of homonuclear binary molecules, involving electronic ground state ε'' and excited ε', exhibits a continuum at cm-1. If the total energy of the dissociated atoms in the excited state exceeds the total energy of the dissociated atoms in the ground state by Eex cm-1, then dissociation energy of the molecule in the ground state is

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For a multi-electron atom , L and S specify the one electron orbital angular momentum, total orbital angular momentum and total spin angular momentum respectively. The selection rules for electric dipole transition between the two electronic energy levels, specified by , L and S are

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Two states of an atom have definite parities. An electric dipole transition between these states is

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A collection of N atoms is exposed to a strong resonant electromagnetic radiation with Ng atoms in the ground state and N atoms in the excited state, such that Ng + Ne = N. This collection of two-level atoms will have the following population distribution

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The last two terms of the electronic configuration of manganese (Mn) atom is 3d5 4s2. The term factor of Mn4+ ion is

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Deuteron in its ground state has a total angular momentum J = 1 and a positive parity. The corresponding orbital angular momentum L and spin angular momentum S combinations are

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Two monochromatic waves having frequencies and    and corresponding wavelengths and    of same polarization, travelling along X-axis are superimposed on each other. The phase velocity and group velocity of the resultant wave are respectively given by

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A pure rotational Raman spectrum of a linear diatomic molecule is recorded using electromagnetic radiation of frequency . The frequency of two consecutive Stokes lines are

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The rotational partition function for a diatomic molecule of moment of inertia at a temperature T is given by

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Match the typical spectra of stable molecules with the corresponding wave number range
P. Electronic spectra 1. 106 cm-1 and above
Q. Rotational spectra 2. 105 - 106 cm-1
R. Molecular dissociation 3. 100 - 102 cm-1

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The molecular spectra of two linear molecules O-C-O and O-C-S are recorded in the microwave region. Which one of the following statements is correct?

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If the equation of state for a gas with internal energy U is pV = U, then the equation for an adiabatic process is

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The Lβ line of X-rays emitted from an atom with principal quantum numbers n = 1, 2, 3, . . . . . . . ., arises from the transition

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Five energy levels of a system including the ground state are shown below. Their lifetimes and the allowed electric dipole transitions are also marked.
Atomic and Molecular Physics mcq question image
Which one of the following transitions is the most suitable for a Continuous Wave (CW) laser?

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When the refractive index of the active medium changes by  in a laser resonator of length L, the change in the spectral spacing between the longitudinal modes of the laser is (c is the speed of light in free space)

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The allowed states for He (2p2) configuration are

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For an electron in hydrogen atom, the states are characterized by the usual quantum numbers n, , m. The electric dipole transition between any two states requires that

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Match the following:
P. Franck-Hertz experiment 1. Electronic excitation of molecules
Q. Hartree-Fock method 2. Wave function of atoms
R. Stern-Gerlach experiment 3. Spin angular momentum of atoms
S. Franck-Condon principle 4. Energy levels in atoms

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X-rays were produced using cobalt (Z = 27) as target. It was observed that the X-ray spectrum contained a strong Kα line of wavelength 0.1785 nm an a weak Kα line of wavelength 0.1930 nm. Then the weak Kα line is due to an impurity whose atomic number is

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