Complete GATE PH 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Question 37

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PHMCQ2 marksNeeds review
Consider the Pauli matrices

,

,

. The value of

is
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Question 38

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PHMCQ2 marksNeeds review
Which one of the following statements is true?
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Question 39

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PHMCQ2 marksNeeds review
The Hamiltonian for a quantum particle of mass

is given below, where

. The Schrödinger equation for this system can be solved exactly using the orthogonal transformations:

and

.

The ground state energy of this system is
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