Physics
2025 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PH 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 61–63 of 65. Imported answers require review unless explicitly marked reviewed.
Question 61
Open questionPHNAT2 marksNeeds review
Consider the set
. An orthonormal basis in
is formed from these three terms, where the normalization of a function
is defined via
. If the orthonormal basis set is
, then the value of
(in integer) is ______Log in to check the answer
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Open questionPHNAT2 marksNeeds review
The Hamiltonian for a one dimensional system with mass
, position
and momentum
is
, where
is a real function of
. If
, then
. The value of
(in integer) is _____.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 63
Open questionPHNAT2 marksNeeds review
A system of five identical, non-interacting particles with mass
and spin
is confined to a one-dimensional potential well of length
. If the lowest energy of the system is
, the value of
(in integer) is _____.Log in to check the answer
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