Physics
GATE PH Mathematical Physics PYQs
Build your understanding with focused practice from past exam papers.
How to practice Mathematical Physics
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 46. Imported answers require independent review unless marked reviewed.
Question 30
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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Open questionPHMSQ1 markNeeds review
The complex function
has ____.Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
Open questionPHMSQ2 marksNeeds review
Consider two matrices:
and
. Which of the following statement is/are true?Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 51
Open questionPHMSQ2 marksNeeds review
and
(
) are contravariant and covariant vectors, respectively. By convention, any repeated indices are summed over. Which of the following expression is/are tensors?Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 56
Open questionPHMSQ2 marksNeeds review
The Fourier transform and its inverse transform are respectively defined as
and
. Consider two functions
and
. Another function
is defined as
Which of the following relation/s are true? Note: Tilde (
) denotes the Fourier transform.Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 17
Open questionPHMCQ1 markNeeds review
Consider a two dimensional Cartesian coordinate system in which a rank 2 contravariant tensor is represented by the matrix
. The coordinate system is rotated anticlockwise by an acute angle
with the origin fixed. Which one of the following matrices represents the tensor in the new coordinate system?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 26
Open questionPHMCQ1 markNeeds review
A
matrix
has the property
and
, where
is the
identity matrix. Which one of the following is the CORRECT set of eigen values of the matrix
?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 32
Open questionPHMSQ1 markNeeds review
Which of the following options represent(s) linearly independent pair(s) of functions of a real variable
?Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
Open questionPHMCQ2 marksNeeds review
Consider two real functions
where
is a real constant and
are real coefficients. If
is analytic, then what is the value of
?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 56
Open questionPHMSQ2 marksNeeds review
Consider the complex function
At
, which of the following options is(are) CORRECT?Your answerSelect all correct options. You can choose more than one.
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