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Engineering Physics · all questions

Atomic and Molecular Physics
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If the wavelength of the first line of the Balmer series in the hydrogen spectrum is , then the wavelength of the first line of the Lyman series is

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For a diatomic molecule with the vibrational quantum number n and rotational quantum number J, the vibrational level spacing ΔEn = En - En - 1 and the rotational level spacing ΔEJ - EJ - EJ - 1 are approximately

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If R1 is the value of the Rydberg constant assuming mass of the nucleus to be infinitely large compared to that of an electron, and if R2 is the Rydberg constant taking nuclear mass to be 7500 times the mass of the electron, then the ratio is

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Three values of rotational energies of molecules are given below in different units
P = 10 cm-1
Q = 10-23 J
R = 104 MHz
Choose the correct arrangement in the increasing order of energy.

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The coherence length of laser light is

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The spectral terms for a certain electronic configuration are given by 3d, 1d, 3p, 1p, 5s, 3s. The term with the lowest energy is

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In accordance with the selection rules of electric dipole transitions, the 43p1 state of helium can decay by photon emission to the states

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Light of wavelength 1.5 μm incident on a material with a characteristic Raman frequency of 20 × 1012 Hz results in a Stokes-shifted line of wavelength
[Given : c = 3 × 108 m/s]

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In the linear Stark effect, the application of an electric field

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Consider the pure rotational spectrum of a diatomic rigid rotor. The separation between two consecutive lines  in the spectrum

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If an atom is in the 3d3 state, the angle between its orbital and spin angular momentum vectors ( and ) is

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Which one of the following statements is incorrect in vibrational spectroscopy with anharmonicity?

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The pure rotational level of a molecule in the far-infrared region follows the formula F(J) = BJ(J + 1), where F(J) is the energy of the rotational level with quantum number J and B is the rotational constant. The lowest rotational energy gap in rotational Raman spectrum is

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Caesium has a nuclear spin of 7/2. The hyperfine spectrum of the d lines of the caesium atom will consist of

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The degeneracy of an excited state of nitrogen atom having electronic configuration 1s2 2s2 2p2 3d1 is

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The population inversion in a two-level laser material cannot be achieved by optical pumping because

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Group I lists some physical phenomena while Group II gives some physical parameters. Match the phenomenon with the corresponding parameter
Group I Group II
P. Doppler broadening 1. Moment of inertia
Q. Natural broadening 2. Refractive index
R. Rotational spectrum 3. Lifetime of the energy level
S. Total internal reflection 4. Pressure

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The Lande g factor for the level 3d3 is

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In a Raman scattering experiment, light of frequency from a laser is scattered by diatomic molecules having the moment of inertia . The typical Raman shifted frequency depends on

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CO2 molecule has the first few energy levels uniformly separated by approximately 2.5 meV. At a temperature of 300 K, the ratio of the number of molecules in the 4th excited state to the number in the 2nd excited state is about

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