Physics
GATE PH discipline:physics PYQs
Build your understanding with focused practice from past exam papers.
Questions 531–540 of 650. Imported answers require independent review unless marked reviewed.
Question 1
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The eigenvalues of a Hermitian matrix are all
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Which one of the following represents the 3p radial wave function of hydrogen atom? (a₀ is the Bohr radius)
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Given the following table,
Group I | Group II |
|---|---|
P: Stern-Gerlach experiment | 1: Wave nature of particles |
Q: Zeeman effect | 2: Quantization of energy of electrons in the atoms |
R: Frank-Hertz experiment | 3: Existence of electron spin |
S: Davison-Germer experiment | 4: Space quantization of angular momentum |
which one of the following correctly matches the experiments from Group I to their inferences in Group II?
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In spherical polar coordinates
, the unit vector
at
isYour answerChoose one option.
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The scale factors corresponding to the covariant metric tensor
in spherical polar coordinates areYour answerChoose one option.
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In the context of small oscillations, which one of the following does NOT apply to the normal coordinates?
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For the given unit cells of a two dimensional square lattice, which option lists all the primitive cells?

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Among electric field (
), magnetic field (
), angular momentum (
), and vector potential (
), which is/are odd under parity (space inversion) operation?Your answerChoose one option.
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The expression for the second overtone frequency in the vibrational absorption spectra of a diatomic molecule in terms of the harmonic frequency
and anharmonicity constant
isYour answerChoose one option.
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Match the physical effects and order of magnitude of their energy scales given below, where
is fine structure constant;
and
are electron and proton mass, respectively.Group I | Group II |
|---|---|
P: Lamb shift | 1: |
Q: Fine structure | 2: |
R: Bohr energy | 3: |
S: Hyperfine structure | 4: |
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