Question for UPESSC Assistant Professor (Physics) 2026 - Quiz / Questions / MCQ

Objective Questions

Latest UPESSC Assistant Professor Physics Exam Question (Objective Questions), MCQ in English

Subjects : General Knowledge, Optional Subject (Physics)

Question Bank UPESSC Assistant Professor (Physics) Exam - English

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General Knowledge

Question 1Single Answer

Who presented the Union Budget 2026–27 in Parliament?

A
Amit Shah
B
Piyush Goyal
C
Nirmala Sitharaman
D
Rajnath Singh

Question 2Single Answer

The Union Budget 2026–27 was the first Union Budget prepared in which building?

A
Kartavya Bhawan
B
North Block
C
Parliament House
D
Vigyan Bhawan

Question 3Single Answer

The Union Budget 2026–27 was inspired by how many 'Kartavyas'?

A
Three
B
Two
C
Four
D
Five

Question 4Single Answer

Total expenditure estimated in the Union Budget 2026–27 was approximately:

A
Rs 43.5 lakh crore
B
Rs 48.5 lakh crore
C
Rs 53.5 lakh crore
D
Rs 63.5 lakh crore

Question 5Single Answer

The New Income Tax Act, 2025 came into effect from:

A
January 2026
B
April 2026
C
July 2026
D
April 2027

Question 6Single Answer

India celebrated its _____ Republic Day on 26 January 2026.

A
77th
B
76th
C
75th
D
78th

Question 7Single Answer

Who was one of the Chief Guests at India's Republic Day celebrations in 2026?

A
Emmanuel Macron
B
António Costa
C
Keir Starmer
D
Friedrich Merz

Question 8Single Answer

Ursula von der Leyen attended India's Republic Day 2026 as the:

A
President of France
B
President of the European Commission
C
President of European Council
D
UN General Assembly President

Question 9Single Answer

António Costa is the President of the:

A
European Commission
B
European Parliament
C
European Central Bank
D
European Council

Question 10Single Answer

Republic Day 2026 highlighted 150 years of which national song?

A
Vande Mataram
B
Sare Jahan Se Achha
C
Jana Gana Mana
D
Ae Mere Watan Ke Logon

Question 11Single Answer

How many Padma Awards were approved for 2026?

A
121
B
131
C
125
D
139

Question 12Single Answer

How many Padma Vibhushan awards were announced for 2026?

A
5
B
3
C
7
D
10

Question 13Single Answer

How many Padma Bhushan awards were announced for 2026?

A
10
B
11
C
15
D
13

Question 14Single Answer

How many Padma Shri awards were announced for 2026?

A
103
B
113
C
108
D
118

Question 15Single Answer

The Padma Awards are traditionally announced on the occasion of:

A
Independence Day
B
Gandhi Jayanti
C
Republic Day
D
Constitution Day

Question 16Single Answer

The Padma Awards are formally conferred by the:

A
Prime Minister
B
President of India
C
Chief Justice of India
D
Home Minister

Question 17Single Answer

Census of India 2027 is planned to be conducted in:

A
One phase
B
Two phases
C
Three phases
D
Four phases

Question 18Single Answer

The Houselisting and Housing Census for Census 2027 is scheduled mainly during:

A
April–September 2026
B
January–March 2027
C
April–June 2027
D
October–December 2026

Question 19Single Answer

The main Population Enumeration for Census 2027 is scheduled for:

A
December 2026
B
January 2027
C
March 2027
D
February 2027

Question 20Single Answer

Approximately how many field functionaries are expected to participate in Census 2027?

A
10 lakh
B
30 lakh
C
20 lakh
D
50 lakh

Question 21Single Answer

Which technology is planned for data collection in Census 2027?

A
Satellite imaging only
B
Only paper forms
C
Mobile application
D
Blockchain voting machines

Question 22Single Answer

The estimated cost approved for Census 2027 is approximately:

A
Rs 11,718 crore
B
Rs 8,718 crore
C
Rs 5,718 crore
D
Rs 15,718 crore

Question 23Single Answer

Which country held the G20 presidency in 2025?

A
Brazil
B
India
C
Indonesia
D
South Africa

Question 24Single Answer

Which country assumed the G20 presidency for 2026?

A
India
B
United States
C
Canada
D
Brazil

Question 25Single Answer

COP30, the UN Climate Change Conference of 2025, was hosted in:

A
India
B
Brazil
C
UAE
D
Azerbaijan

Question 26Single Answer

COP30 was hosted in which Brazilian city?

A
Rio de Janeiro
B
São Paulo
C
Brasília
D
Belém

Question 27Single Answer

The 2026 FIFA World Cup is being jointly hosted by:

A
USA, Canada and Mexico
B
Spain, Portugal and Morocco
C
Germany, France and Italy
D
Brazil, Argentina and Uruguay

Question 28Single Answer

The 2026 FIFA World Cup features how many teams?

A
32
B
36
C
48
D
40

Question 29Single Answer

The 2026 Winter Olympics were hosted by:

A
Paris
B
Milano Cortina
C
Los Angeles
D
Brisbane

Question 30Single Answer

Milano Cortina 2026 was hosted by which country?

A
France
B
Switzerland
C
Austria
D
Italy

Optional Subject (Physics)

Question 31Single Answer

The electric field due to an infinite line charge is proportional to?

A
1/r²
B
1/r
C
r
D
Constant

Question 32Single Answer

Poisson’s equation is derived from?

A
Faraday’s law
B
Ampere’s law
C
Coulomb’s law and Gauss’s theorem
D
Biot-Savart law

Question 33Single Answer

Laplace’s equation applies to regions that are?

A
Conductors only
B
Uniformly charged
C
Charge-free
D
Magnetic fields

Question 34Single Answer

The general solution to Laplace’s equation in spherical coordinates with azimuthal symmetry involves?

A
Bessel functions
B
Legendre polynomials
C
Exponential decay
D
Sine waves

Question 35Single Answer

The electric field inside a uniformly charged solid sphere varies as?

A
r
B
1/r
C
1/r²
D
Constant

Question 36Single Answer

The uniqueness theorem for boundary value problems requires?

A
Zero charge density
B
Specified boundary conditions
C
Infinite domain
D
Spherical symmetry

Question 37Single Answer

In Poisson’s equation with uniform charge density, the potential is?

A
Exponential
B
Linear
C
Quadratic
D
Harmonic

Question 38Single Answer

The electric field outside a charged conducting sphere is equivalent to that of a?

A
Infinite plane
B
Dipole
C
Uniform field
D
Point charge at its center

Question 39Single Answer

Laplace’s equation is a?

A
Elliptic PDE
B
Hyperbolic PDE
C
Parabolic PDE
D
Linear ODE

Question 40Single Answer

The electric potential due to a point charge varies as?

A
1/r
B
1/r²
C
r
D
r²

Question 41Single Answer

The electric field inside a conductor in electrostatic equilibrium is?

A
Uniform
B
Zero
C
Proportional to r
D
Proportional to 1/r²

Question 42Single Answer

The flux through a Gaussian surface depends on?

A
Medium permittivity
B
Surface shape
C
Enclosed charge only
D
External fields

Question 43Single Answer

The solution to Laplace’s equation in cylindrical coordinates often involves?

A
Legendre polynomials
B
Bessel functions
C
Spherical harmonics
D
Exponential functions

Question 44Single Answer

The potential inside a hollow charged conductor is?

A
Proportional to r
B
Zero
C
Constant
D
Proportional to 1/r

Question 45Single Answer

The method of images is used to solve?

A
Magnetic field problems
B
Wave equations
C
Diffusion equations
D
Boundary value problems

Question 46Single Answer

The electric field at the surface of a conductor is?

A
Zero
B
Tangential to the surface
C
Normal to the surface
D
Uniform

Question 47Single Answer

The potential due to an electric dipole varies as?

A
1/r²
B
1/r
C
1/r³
D
r

Question 48Single Answer

The electric field due to a charged conducting sphere at a point outside is proportional to?

A
1/r
B
1/r²
C
r
D
r²

Question 49Single Answer

The solution to Laplace’s equation in one dimension is?

A
Exponential
B
Quadratic
C
Linear
D
Logarithmic

Question 50Single Answer

The potential outside a grounded conducting sphere near a point charge is found using?

A
Green’s function
B
Separation of variables
C
Method of images
D
Direct integration

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Optional Subject (Physics)

Question 51Single Answer

The electric field due to a uniformly charged infinite cylinder outside is proportional to?

A
Constant
B
1/r²
C
r
D
1/r

Question 52Single Answer

The capacitance of a parallel-plate capacitor depends on?

A
Medium resistivity
B
Charge only
C
Voltage only
D
Area and separation

Question 53Single Answer

The magnetic field due to a current-carrying wire is given by?

A
Gauss’s law
B
Biot-Savart law
C
Faraday’s law
D
Coulomb’s law

Question 54Single Answer

The magnetic field outside a long straight wire is proportional to?

A
1/r
B
1/r²
C
r
D
Constant

Question 55Single Answer

Ampere’s law is valid for?

A
Gravitational fields
B
Time-varying fields
C
Electrostatic fields
D
Steady currents

Question 56Single Answer

The induced EMF in a loop depends on?

A
Loop material
B
Resistance of the loop
C
Rate of change of magnetic flux
D
Loop shape only

Question 57Single Answer

The magnetic field inside a conductor carrying uniform current is?

A
Proportional to 1/r
B
Zero
C
Constant
D
Proportional to r

Question 58Single Answer

Lenz’s law ensures that induced current opposes?

A
Conductor motion
B
Applied voltage
C
Magnetic field strength
D
Change in magnetic flux

Question 59Single Answer

The magnetic field at the center of a square current loop depends on?

A
Area only
B
Side length and current
C
Perimeter only
D
Resistance

Question 60Single Answer

The magnetic moment of a current loop is?

A
I2 x Area
B
I/Area
C
I x Perimeter
D
I x Area

Question 61Single Answer

The magnetic field due to a Helmholtz coil at its center is?

A
Zero
B
Uniform
C
Proportional to 1/r
D
Proportional to r

Question 62Single Answer

The mutual inductance between two coils depends on?

A
Their geometry and coupling
B
Resistance of coils
C
Voltage applied
D
Frequency of current

Question 63Single Answer

The magnetic field inside a long straight conductor is zero when?

A
No current flows
B
Current is uniform
C
At the center only
D
Outside the conductor

Question 64Single Answer

The magnetic scalar potential is used when?

A
Electric field is zero
B
Current density is zero
C
Magnetic field is zero
D
Charge density is zero

Question 65Single Answer

The force on a current-carrying wire in a magnetic field is?

A
I L x B
B
I L x B
C
I B/L
D
I B x L

Question 66Single Answer

The magnetic field due to a current element is perpendicular to?

A
The current direction only
B
The plane of dl and r
C
The radial direction only
D
The magnetic moment

Question 67Single Answer

The EMF induced in a rotating coil in a magnetic field is?

A
Inversely proportional to area
B
Zero if B is constant
C
Proportional to angular velocity
D
Independent of magnetic field

Question 68Single Answer

The Biot-Savart law is analogous to which electrostatic law?

A
Faraday’s law
B
Gauss’s law
C
Coulomb’s law
D
Ampere’s law

Question 69Single Answer

The torque on a current loop in a magnetic field is?

A
I B/A
B
m x B
C
I B x A
D
m x B

Question 70Single Answer

The magnetic field due to a finite straight wire at a perpendicular distance depends on?

A
Wire length only
B
Angles subtended by the wire ends
C
Current only
D
Distance only

Question 71Single Answer

The self-inductance of a solenoid is proportional to?

A
Current squared
B
Number of turns squared
C
Resistance
D
Length only

Question 72Single Answer

Maxwell’s equation implies?

A
Zero electric field
B
No electric charges
C
Constant magnetic field
D
No magnetic monopoles

Question 73Single Answer

Maxwell’s equations in free space imply that E and B fields are?

A
Independent of each other
B
Parallel in EM waves
C
Zero in free space
D
Transverse in EM waves

Question 74Single Answer

In a linear isotropic dielectric, the polarization P is proportional to?

Question 75Single Answer

Maxwell’s equations in integral form include?

A
Ohm’s law
B
Coulomb’s law
C
Biot-Savart law
D
Faraday’s law

Question 76Single Answer

Dimensional formula of Planck’s constant (h) is?

A
[ML²T^-3]
B
[ML²T^-2]
C
[ML²T^-1]
D
[MLT^-1]

Question 77Single Answer

Which of the following is dimensionless?

A
Gravitational constant
B
Surface tension
C
Pressure
D
Strain

Question 78Single Answer

Vector triple product identity is?

A
None of these
B
A × (B × C) = (A · B)C – (A · C)B
C
A × (B × C) = B × (C × A)
D
A × (B × C) = (A · C)B – (A · B)C

Question 79Single Answer

Divergence of curl of any vector field is?

A
Infinite
B
One
C
Zero
D
None

Question 80Single Answer

Curl of gradient of any scalar function is?

A
Gradient of curl
B
Constant
C
Zero
D
Divergence of gradient

Question 81Single Answer

The Cayley-Hamilton theorem states that?

A
Determinant of a matrix is zero
B
Every square matrix satisfies its own characteristic equation
C
Eigenvalues are always real
D
Matrices commute

Question 82Single Answer

A 2×2 identity matrix has eigenvalues?

A
0, 1
B
1, 1
C
2, 2
D
None

Question 83Single Answer

Rank of a null matrix of order n is?

A
n
B
0
C
1
D
n – 1

Question 84Single Answer

Vector triple product identity is?

A
A × (B × C) = (A · B)C – (A · C)B
B
A × (B × C) = (A · C)B – (A · B)C
C
A × (B × C) = B × (C × A)
D
None of these

Question 85Single Answer

Divergence of curl of any vector field is?

A
Infinite
B
One
C
Zero
D
None

Question 86Single Answer

Curl of gradient of any scalar function is?

A
Divergence of gradient
B
Constant
C
Gradient of curl
D
Zero

Question 87Single Answer

The Cayley-Hamilton theorem states that?

A
Matrices commute
B
Determinant of a matrix is zero
C
Eigenvalues are always real
D
Every square matrix satisfies its own characteristic equation

Question 88Single Answer

Rank of a null matrix of order n is?

A
n
B
0
C
1
D
n – 1

Question 89Single Answer

Legendre polynomials satisfy which differential equation?

A
y'' + x²y = 0
B
(1 – x²)y'' – 2xy' + l(l+1)y = 0
C
xy'' + y' = 0
D
None

Question 90Single Answer

Bessel’s equation of order n is?

A
y'' + y = 0
B
x²y'' + xy' + (x² – n²)y = 0
C
y'' – y = 0
D
None

Question 91Single Answer

Hermite polynomials appear in which problem?

A
Rigid rotator
B
Hydrogen atom
C
Harmonic oscillator
D
Free particle

Question 92Single Answer

Laguerre polynomials appear in which problem?

A
Harmonic oscillator
B
Rigid rotator
C
Hydrogen atom radial wave function
D
None

Question 93Single Answer

Fourier series of an odd function contains?

A
Only cosine terms
B
Both sine and cosine
C
Only sine terms
D
Constant term only

Question 94Single Answer

Fourier series of an even function contains?

A
Only cosine terms
B
Only sine terms
C
Both sine and cosine
D
None

Question 95Single Answer

Laplace transform of e^(at) is?

A
1/(s – a)
B
1/(s + a)
C
a/s
D
None

Question 96Single Answer

Residue theorem is used in?

A
Fourier series
B
Real integration only
C
Complex integration
D
Laplace transform

Question 97Single Answer

Cauchy-Riemann equations are condition for?

A
Eigenfunction
B
Fourier transform
C
Laplace transform
D
Analytic function

Question 98Single Answer

Contour integration is used to evaluate?

A
Improper integrals
B
Ordinary differential equations
C
Matrices
D
Determinants

Question 99Single Answer

Tensor of rank 2 has how many components in 3D?

A
3
B
6
C
9
D
12

Question 100Single Answer

Kronecker delta is?

A
Always 1
B
1 if i = j, 0 otherwise
C
Always 0
D
Infinity

Question 101Single Answer

Determinant of an orthogonal matrix is?

A
0
B
Always 1
C
±1
D
Always –1

Question 102Single Answer

Trace of a matrix is equal to sum of?

A
Both a and c
B
Determinant
C
Eigenvalues
D
Diagonal elements

Question 103Single Answer

Which group describes rotational symmetry in 3D?

A
SU(2)
B
SO(3)
C
O(2)
D
U(1)

Question 104Single Answer

Special unitary group SU(2) has dimension?

Question 105Single Answer

Which is not an orthogonal polynomial?

A
Hermite
B
Bessel
C
Legendre
D
Laguerre

Question 106Single Answer

Hermite polynomials are orthogonal with weight function?

A
e^(–x)
B
e^(–x2)
C
1
D
x

Question 107Single Answer

Laplace transform of sin(at) is?

A
a/(s² + a²)
B
s/(s² + a²)
C
1/(s – a)
D
None

Question 108Single Answer

Laplace transform of cos(at) is?

A
s/(s² + a²)
B
a/(s² + a²)
C
1/(s – a)
D
None

Question 109Single Answer

Inverse Laplace of 1/s² is?

A
e^t
B
1
C
t²
D
t

Question 110Single Answer

Eigenvectors corresponding to distinct eigenvalues are?

A
None
B
Parallel
C
Arbitrary
D
Orthogonal

Question 111Single Answer

Order of pole of 1/(z–a)² is?

A
2
B
1
C
0
D
None

Question 112Single Answer

Jordan form of a diagonalizable matrix is?

A
Diagonal matrix
B
Triangular matrix
C
Null matrix
D
None

Question 113Single Answer

Which of the following groups is abelian?

A
U(1)
B
SO(3)
C
SU(2)
D
S3

Question 114Single Answer

Tensors transform according to?

A
Nonlinear transformations
B
Linear transformations
C
Random
D
None

Question 115Single Answer

Which is scalar under rotation?

A
Vector triple product
B
Cross product
C
Dot product
D
None

Question 116Single Answer

Which is vector under rotation?

A
Divergence
B
Gradient of scalar
C
Laplacian
D
Curl of gradient

Question 117Single Answer

Divergence theorem relates?

A
None
B
Line integral to area integral
C
Gradient to curl
D
Volume integral of divergence to surface integral of flux

Question 118Single Answer

Stokes theorem relates?

A
Laplacian to divergence
B
Divergence to flux
C
Surface integral of curl to line integral
D
None

Question 119Single Answer

The Laplace transform exists only if?

A
Function is of exponential order
B
Function is periodic
C
Function is bounded
D
Function is polynomial

Question 120Single Answer

Convolution theorem applies to?

A
Laplace transform
B
Fourier transform
C
Both a) and b)
D
None

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Latest UPESSC Assistant Professor Physics Exam Question (Objective Questions), MCQ in English

General Knowledge

Optional Subject (Physics)

UPESSC Assistant Professor Physics Exam Online Question Bank Package

Optional Subject (Physics)

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