GATE CY concept:rigid-rotor PYQs & Answers

Questions 1–3 of 3. Imported answers require independent review unless marked reviewed.

Rigid rotor wavefunctions are given by

. The wavefunctions

and

are given below

For a non-polar diatomic molecule, the value of transition dipole moment integral for transition between

and

is equal to

Your answerChoose one option.

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Among the following, the correct statement(s) is (are):

Your answerSelect all correct options. You can choose more than one.

the normalization factor of a Slater determinant for a 3-electron atom is

the number of nodes in the radial wave function of 3s orbital of a hydrogen atom is the same as the number of nodes in the angular wave function of a 4d orbital of hydrogen atom.

the energy separation between any two adjacent states is same for a harmonic oscillator, while it is different for a rigid rotor.

the magnitude of the total spin angular momentum of an

electron is the negative of that of a

electron.

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The INCORRECT statement is

Your answerChoose one option.

Zero-point energy of a quantum mechanical harmonic oscillator of frequency ν is

Energy level of a quantum mechanical rigid rotor is inversely proportional to its moment of inertia

The time independent Schrödinger equation for Li²⁺ can be solved exactly

Total angular momentum of an atomic system is equal to the sum of orbital angular momentum and spin angular momentum

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GATE CY concept:rigid-rotor PYQs

How to practice concept:rigid-rotor

Question 19

Question 56

Question 28