Complete GATE PH 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 22–24 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 8 of 22

Question 22

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Consider one mole of a monovalent metal at absolute zero temperature, obeying the free electron model. Its Fermi energy is

. The energy corresponding to the filling of

electrons, where

is the Avogadro number, is

. The value of

is
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Question 23

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A paramagnetic material containing paramagnetic ions with total angular momentum

is kept at absolute temperature

. The ratio of the magnetic field required for 80% of the ions to be in the lowest energy state to that required for having 60% of the ions to be in the lowest energy state at the same temperature is
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Question 24

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Which of the following option(s) is/are correct for the ground state of a hydrogen atom?
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