GATE PH 2022 Paper 1 — page 17

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

A particle of unit mass moves in a potential

. If the angular momentum of the particle is

, then which of the following statements are true?

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

There are two equilibrium points along the radial coordinate

There is one stable equilibrium point at

and one unstable equilibrium point at

There are two stable equilibrium points along the radial coordinate

There is only one equilibrium point along the radial coordinate

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In a diatomic molecule of mass

, electronic, rotational and vibrational energy scales are of magnitude

and

, respectively. The spring constant for the vibrational energy is determined by

. If the electron mass is

then

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

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Electronic specific heat of a solid at temperature

, where

is a constant related to the thermal effective mass (

) of the electrons. Then which of the following statements are correct?

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

is greater than free electron mass for all solids

Temperature dependence of

depends on the dimensionality of the solid

The linear temperature dependence of

is observed at

Debye temperature

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2022 · Paper 1