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Previous year question hub

Complex Analysis - Mathematical Physics - Physics Previous Year Questions

Practice Complex Analysis - Mathematical Physics - Physics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

20Papers
20Years
31Questions
1Topics

Complex Analysis question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 19 61.3%
Easy 12 38.7%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 22 71%
Numerical Answer Type (NAT) 5 16.1%
MSQ 3 9.7%
Fill in the blanks 1 3.2%

Subject weightage

Top subjects by unique question coverage.

Physics
31 Qs

Most asked topics

Top topics across the included previous year papers.

Mathematical Physics
31 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Complex Analysis
31 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Physics (PH) 2026
1 Qs
Physics (PH) 2025
2 Qs
Physics (PH) 2024
1 Qs
Physics (PH) 2023
2 Qs
Physics (PH) 2022
1 Qs
Physics (PH) 2021
2 Qs
Physics (PH) 2020
1 Qs
Physics (PH) 2019
2 Qs
Physics (PH) 2018
1 Qs
Physics (PH) 2017
2 Qs
Physics (PH) 2016
1 Qs
Physics (PH) 2015
1 Qs
Physics (PH) 2014
1 Qs
Physics (PH) 2013
2 Qs
Physics (PH) 2012
1 Qs
Physics (PH) 2011
2 Qs
Physics (PH) 2010
3 Qs
Physics (PH) 2009
1 Qs
Physics (PH) 2008
2 Qs
Physics (PH) 2007
2 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Physics (PH) 20262026
1 questions in this view		2026
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Physics (PH) 20252025
2 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Physics (PH) 20242024
1 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Physics (PH) 20232023
2 questions in this view		2023
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Physics (PH) 20222022
1 questions in this view		2022
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Physics (PH) 20212021
2 questions in this view		2021
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Physics (PH) 20202020
1 questions in this view		2020
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20192019
2 questions in this view		2019
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20182018
1 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20172017
2 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20162016
1 questions in this view		2016
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20152015
1 questions in this view		2015
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20142014
1 questions in this view		2014
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20132013
2 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20122012
1 questions in this view		2012
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20112011
2 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20102010
3 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20092009
1 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20082008
2 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Physics (PH) 20072007
2 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Complex Analysis previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2007
The contour integral \(\oint \frac{dz}{z^4 + a^4}\) is to be evaluated on a circle of radius \(2a\) centered at the origin. It will have contributions only from the points
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2
2007 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2007
The contour integral \(\oint \frac{dz}{z^3 + a^3}\) is to be evaluated on a circle of radius \(2a\) centered at the origin. It will have contributions only from the points
Open complete paper
3
2008 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2008
If \(I = \oint_C dz Ln(z)\), where \(C\) is the unit circle taken anticlockwise and \(Ln(z)\) is the principal branch of the Logarithm function, which one of the following is correct?
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4
2008 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2008
The value of \(\int_{-i}^{i} \pi (z+1) dz\) is
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5
2009 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2009
The value of the integral \(\int_C \frac{e^z}{z^2 - 3z + 2} dz\), where the contour C is the circle \(|z| = 3/2\) is
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6
2010 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2010
The value of the integral \( \oint_{C} \frac{e^{z} \sin (z)}{z^{2}} d z \), where the contour \( C \) is the unit circle: \( |z-2|=1 \), is
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7
2010 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2010
For the complex function, \( f(z) = \frac{e^{\sqrt{z}} - e^{-\sqrt{z}}}{\sin(\sqrt{z})} \), which of the following statements is correct?
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8
2010 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2010
Which of the following options is the closest in meaning to the word below:
Circuitous
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9
2011 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2011
Which of the following statements is TRUE for the function \( f(z) \)?
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10
2011 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2011
Consider a counterclockwise circular contour \( |z| = 1 \) about the origin. The integral \( \oint f(z) dz \) over this contour is
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11
2012 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2012
The value of the integral ∮_C e^{iπz} dz, using the contour C of circle with unit radius |z|=1 is
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12
2013 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2013
For the function $f(z)=\frac{16z}{(z+3)(z-1)^3}$, the residue at the pole $z = 1$ is (your answer should be an integer) __________.
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13
2013 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2013

Which of the following options is the closest in meaning to the word given below: Primeval

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14
2014 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2014
The value of the integral
\[ \oint_C \frac{z^2}{e^z + 1} dz, \]
where \(C\) is the circle \(|z| = 4\), is
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15
2015 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2015
Consider \( w = f(z) = u(x, y) + iv(x, y) \) to be an analytic function in a domain \( D \). Which one of the following options is NOT correct?
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16
2016 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2016
Which of the following is an analytic function of \(z\) everywhere in the complex plane?
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17
2017 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2017
The contour integral \(\oint \frac{dz}{1+z^2}\) evaluated along a contour going from \(-\infty\) to \(+\infty\) along the real axis and closed in the lower half-plane by a half circle is equal to_____. (up to two decimal places).
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18
2017 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2017
The imaginary part of an analytic complex function is \(v(x, y) = 2xy + 3y\). The real part of the function is zero at the origin. The value of the real part of the function at \(1+i\) is ______. (up to two decimal places).

Question diagram

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19
2018 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2018
The absolute value of the integral \[\int \frac{5z^3 + 3z^2}{z^2 - 4} dz,\] over the circle \(|z - 1.5| = 1\) in complex plane, is ______ (up to two decimal places).
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20
2019 · Physics · Mathematical Physics · Complex Analysis
Physics (PH) 2019
The pole of the function \(f(z) = \cot z\) at \(z = 0\) is
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Showing 20 of 31 questions