Complete GATE PH 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 11 of 22

Question 31

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PHNAT2 marksNeeds review
Consider a 2-dimensional electron gas with a density of

. The Fermi energy of the system is ______ eV (up to two decimal places). (

)

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Question 32

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The total energy of an inert-gas crystal is given by

(in eV), where R is the inter-atomic spacing in Angstroms. The equilibrium separation between the atoms is ______ Angstroms. (up to two decimal places).

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Question 33

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PHMCQ2 marksNeeds review
Consider

non-interacting, distinguishable particles in a two-level system at temperature

. The energies of the levels are 0 and

, where

. In the high temperature limit (

), what is the population of particles in the level with energy

?
Your answerChoose one option.

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