Physics
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PH 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.
Question 28
Open questionPHMCQ1 markNeeds review
Following trial wavefunctions
and
are used to get a variational estimate of the ground state energy of the helium atom.
and
are the variational parameters,
and
are the position vectors of the electrons. Let
be the exact ground state energy of the helium atom.
and
are the variational estimates of the ground state energy of the helium atom corresponding to
and
, respectively. Which one of the following options is true?Your answerChoose one option.
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Open questionPHMCQ1 markNeeds review
The wavefunction for a particle is given by the form
, where
and
are real constants. In which one of the following potentials
, the particle is moving?Your answerChoose one option.
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Open questionPHMSQ1 markNeeds review
Consider a volume integral
over a volume
, where
. Which of the following statement is/are correct?Your answerSelect all correct options. You can choose more than one.
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