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Objective Questions

Latest UP PGT Physics Exam Question (Objective Questions), MCQ in English

Subjects : Concerned Subject (Physics), General Studies

Question Bank UP PGT Physics Exam - English

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Concerned Subject (Physics)

Question 1Single Answer

In ruby laser, the stimulated emission is due to transition from

A
metastable state to any lower state
B
any higher state of lower state
C
metastable state to ground state
D
any higher state to ground state

Question 2Single Answer

A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is

A
uniform throughout the pipe not zero
B
zero only along the axis of the pipe
C
zero at any point inside the pipe
D
maximum at the centre and minimum at the edge

Question 3Single Answer

convex lens made of glass has focal length 0.15m in air. If the refractive index of glass is 3/2, and that of water is 4/3 the focal length of lens when immersed in water is

A
0.45 m
B
0.15 m
C
0.30 m
D
0.6 m

Question 4Single Answer

Two sources are said to be coherent if they produce waves

A
having a constant phase difference
B
of equal wavelength
C
of equal speed
D
having same shape of wavefront

Question 5Single Answer

Three resistors 1 Ω, 2 Ω, 3Ω resistor a 3 V battery is connected. The current through 3 Ω resistor is -

A
0.75 A
B
1 A
C
2 A
D
1.5 A

Question 6Single Answer

In a common emitter amplifier the input signal is applied across

A
anywhere
B
emitter-collector
C
collector-base
D
base-emitter

Question 7Single Answer

Adding detergents to water helps in removing dirty greasy stains. This is because
1. It increases greasy stains. This is because
2. It decreases the oil-water surface tension
3. It increases the viscosity of the solution
4. Dirt is held suspended surrounded by detergent molecules

A
2 and 4
B
1 only
C
3 and 4
D
4 only

Question 8Single Answer

Choose the correct statement (a) for a cricket ball that is spinning clockwise through air
S1 : Statemlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.

A
S1,S2 and S4
B
S2 and S4
C
S4 only
D
S3 only

Question 9Single Answer

Ferromagnetic materials used in a transformer must have

A
low permeability and high hysterisis loss
B
high permeability and low hysterisis loss
C
high permeability and high hysterisis loss
D
low permeability and low hysterisis loss

Question 10Single Answer

According to Newton’s corpuscular theory, the speed of light is

A
same in all the medium
B
lesser in rarer medium
C
lesser in denser medium
D
independent of the medium

Question 11Single Answer

Temperature can be expressed as derived quantity in terms of

A
length and mass
B
mass and time
C
length, mass and time
D
None of these

Question 12Single Answer

Electron volt is a unit of

A
potential difference
B
charge
C
energy
D
capacity

Question 13Single Answer

Dimensions of impulse are

A
[MLT ^–1]
B
[MLT²]
C
[MT^–2]
D
[ML^–1T^–3]

Question 14Single Answer

Potential is measured in

A
joule/coulomb
B
watt/coulomb
C
newton–second
D
None of these

Question 15Single Answer

One Nanometer is equal to

A
10^–9m
B
10^–6m
C
10^–10m
D
10^–3m

Question 16Single Answer

Maxwell is the unit of

A
magnetic susceptibility
B
intensity of Magnetisation
C
magnetic Flux
D
magnetic Permeability

Question 17Single Answer

Which of the following is derived physical quantity ?

A
Mass
B
Velocity
C
Length
D
Time

Question 18Single Answer

What are the units of magnetic permeability ?

A
Wb A^–1 m^–1
B
Wb^–1 Am
C
Wb A m^–1
D
Wb A^–1 m

Question 19Single Answer

The dimensions of pressure gradient are

A
[ML^–2 T^–2]
B
[ML^–2 T^–1]
C
[ML^–1 T^–1]
D
[ML^–1 T^–2]

Question 20Single Answer

The dimensions of Rydberg's constant are

A
[M⁰L^–1T]
B
[MLT^–1]
C
[M⁰L^–1T⁰]
D
[ML⁰T²]

Question 21Single Answer

'Farad' is the unit of

A
resistance
B
conductance
C
capacitance
D
inductance

Question 22Single Answer

S.I. unit of surface tension is

A
degree/cm
B
N/m
C
N/m²
D
Nm

Question 23Single Answer

Which one of the following pairs does not have the same dimension ?

A
Potential energy and Kinetic energy
B
Density and specific gravity
C
Focal length and height
D
Gravitational force and frictional force

Question 24Single Answer

Which one of the following physical quantity has the same unit as that of pressure ?

A
Angular momentum
B
Stress
C
Strain
D
Work

Question 25Single Answer

The symbol of SI unit of inductance is H. It stands for

A
Holm
B
Halogen
C
Henry
D
Hertz

Question 26Single Answer

Light year is a measure of

A
time
B
distance
C
total amount of light falling on the Earth in a year
D
average intensity of light falling on the Earth in a year

Question 27Single Answer

Which one of the following is not a dimension less quantity ?

A
Strain
B
Relative density
C
Frequency
D
Angle

Question 28Single Answer

The dimensions of universal gas constant are

A
[L² M¹ T^–2 K^–1]
B
[L¹ M² T^–2 K^–1]
C
[L¹ M¹ T^–2 K^–1]
D
[L² M² T^–2 K^–1]

Question 29Single Answer

The dimensions of magnetic moment are

A
[L²A¹]
B
[L²A^–1]
C
[L²/A³]
D
[LA²]

Question 30Single Answer

The dimensions of Wien's constant are

A
[ML⁰TK]
B
[M⁰LT⁰K]
C
[M⁰L⁰TK]
D
[MLTK]

Question 31Single Answer

The dimensional formula of wave number is

A
[M⁰L⁰T^–1]
B
[M⁰L^–1T⁰]
C
[M^–1 L^–1 T⁰]
D
[M⁰ L⁰ T⁰]

Question 32Single Answer

The dimensional of Hubble ‘s wave number is

A
[T^–1]
B
[M⁰L⁰T^–2]
C
[MLT⁴]
D
[MT^–1]

Question 33Single Answer

The dimensions of solar constant is

A
[M⁰L⁰T⁰]
B
[MLT^–2]
C
[ML²T^–2]
D
MT^–3

Question 34Single Answer

The dimensional formula for entropy is

A
[MLT^–2K¹]
B
[ML² T^-2]
C
[ML²T^–2K^–1]
D
[ML²T^–2K]

Question 35Single Answer

Dimension of specific heat are

A
[ML² T^–2 K]
B
[ML² T^–2 K^–1]
C
[ML²T²K^–1]
D
[L²T^–2K^–2]

Question 36Single Answer

The physical quantity which has the dimensional formula [M¹T^–3] is

A
surface tension
B
solar constant
C
density
D
compressibility

Question 37Single Answer

Which one of the following elements is used as a timekeeper in atomic clocks ?

A
Potassium
B
Caesium
C
Calcium
D
Magnesium

Question 38Single Answer

Which one of the following is the value of one nanometer ?

A
10^–7 cm
B
10^–6 cm
C
10^–4 cm
D
10^–3 cm

Question 39Single Answer

What is the unit of pressure ?

A
Newton/sq. meter
B
Newton–meter
C
Newton
D
Newton/meter

Question 40Single Answer

The unit of pressure is

A
kg/cm²
B
kg/cm
C
kg/mm
D
kg/cm³

Question 41Single Answer

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

A
1/r²
B
1/r
C
r
D
Constant

Question 42Single 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 43Single Answer

Laplace’s equation applies to regions that are?

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

Question 44Single 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 45Single Answer

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

A
r
B
1/r
C
1/r²
D
Constant

Question 46Single Answer

The uniqueness theorem for boundary value problems requires?

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

Question 47Single Answer

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

A
Exponential
B
Linear
C
Quadratic
D
Harmonic

Question 48Single 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 49Single Answer

Laplace’s equation is a?

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

Question 50Single Answer

The electric potential due to a point charge varies as?

A
1/r
B
1/r²
C
r
D
r²

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Concerned Subject (Physics)

Question 51Single Answer

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

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

Question 52Single Answer

Which of the following is dimensionless?

A
Gravitational constant
B
Surface tension
C
Pressure
D
Strain

Question 53Single 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 54Single Answer

Divergence of curl of any vector field is?

A
Infinite
B
One
C
Zero
D
None

Question 55Single Answer

Curl of gradient of any scalar function is?

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

Question 56Single 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 57Single Answer

A 2×2 identity matrix has eigenvalues?

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

Question 58Single Answer

Rank of a null matrix of order n is?

A
n
B
0
C
1
D
n – 1

Question 59Single 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 60Single Answer

Divergence of curl of any vector field is?

A
Infinite
B
One
C
Zero
D
None

Question 61Single Answer

The slope of a velocity-time graph represents?

A
Displacement
B
Velocity
C
Acceleration
D
Change in position

Question 62Single Answer

The area under a velocity-time graph gives?

A
Speed
B
Acceleration
C
Displacement
D
Force

Question 63Single Answer

If the position-time graph is a straight line passing through origin, the body has?

A
Zero acceleration
B
Variable velocity
C
Uniform acceleration
D
Constant velocity

Question 64Single Answer

The slope of position-time graph at any instant gives?

A
Average velocity
B
Instantaneous velocity
C
Acceleration
D
Displacement

Question 65Single Answer

A curved position-time graph indicates?

A
Constant acceleration only
B
Uniform motion
C
Zero motion
D
Non-uniform motion

Question 66Single Answer

The area under acceleration-time graph represents?

A
Velocity
B
Displacement
C
Change in velocity
D
Force

Question 67Single Answer

If acceleration-time graph is a straight line parallel to time axis, acceleration is?

A
Zero
B
Constant
C
Increasing
D
Decreasing

Question 68Single Answer

The second derivative of position with respect to time gives?

A
Velocity
B
Acceleration
C
Displacement
D
Speed

Question 69Single Answer

The first derivative of position with respect to time gives?

A
Velocity
B
Acceleration
C
Displacement
D
Force

Question 70Single Answer

Integration of acceleration with respect to time gives?

A
Velocity
B
Displacement
C
Force
D
Momentum

Question 71Single Answer

The displacement current was introduced by Maxwell to?

A
Eliminate magnetic field
B
Replace conduction current
C
Make Ampère’s law consistent with continuity equation
D
No reason

Question 72Single Answer

Gauge invariance means that?

A
Physical fields E and B remain unchanged under gauge transformation
B
Potentials remain unchanged
C
E changes
D
B changes

Question 73Single Answer

The Poynting vector S represents?

A
Current density
B
Momentum density
C
Charge density
D
Energy flux density of EM wave

Question 74Single Answer

The direction of Poynting vector S is?

A
Opposite to propagation
B
Direction of energy propagation (E × H)
C
No direction
D
Parallel to E

Question 75Single Answer

The EM spectrum ranges from?

A
No range
B
Only visible light
C
Only infrared
D
Radio waves to gamma rays

Question 76Single Answer

The order of increasing frequency in EM spectrum is?

A
Gamma = X-ray = UV = Visible = IR = Microwave = Radio
B
Radio = Microwave = IR = Visible = UV = X-ray = Gamma
C
Visible = UV = IR = Radio
D
No order

Question 77Single Answer

Maxwell’s equations predict that?

A
Light is an electromagnetic wave
B
Light is mechanical wave
C
No prediction
D
Light is longitudinal

Question 78Single Answer

The transverse nature of EM waves is shown by?

A
E parallel to B
B
E and B perpendicular to each other and to propagation direction
C
No perpendicularity
D
Longitudinal E and B

Question 79Single Answer

Displacement current was introduced to?

A
Eliminate magnetic field
B
Replace conduction current
C
Satisfy continuity equation for charge
D
No reason

Question 80Single Answer

In a charging capacitor, displacement current between plates is?

A
Opposite
B
Zero
C
Infinite
D
Equal to conduction current in wires

Question 81Single Answer

If two vectors **A** and **B** satisfy |A + B| = |A − B|, what is the angle between them?

A
30°
B
90°
C
45°
D
120°

Question 82Single Answer

For a differentiable scalar field φ, which vector identity is always valid?

A
∇ · (∇φ) = 0
B
∇ × (∇φ) = 0
C
∇φ = 0
D
∇ × (∇φ) = ∇²φ

Question 83Single Answer

Which identity holds for every sufficiently differentiable vector field A?

A
∇ × (∇ ×

Question 84Single Answer

If φ = x²y + yz³, what is ∂φ/∂x?

A
2xy + z³
B
x² + z³
C
2xy
D
2x + y

Question 85Single Answer

The divergence of the position vector r = xi + yj + zk in three dimensions is what?

Question 86Single Answer

For a central force F(r), the torque about the force centre is what?

A
Maximum
B
Constant but nonzero
C
Proportional to r²
D
Zero

Question 87Single Answer

A conservative force field F is related to potential energy U by which relation?

A
F = ∇U
B
F = −∇²U
C
F = ∇ × U
D
F = −∇U

Question 88Single Answer

The gravitational potential inside a uniform spherical shell is what?

A
Zero everywhere
B
Inversely proportional to distance
C
Proportional to distance from centre
D
Constant

Question 89Single Answer

The gravitational field inside a uniform thin spherical shell is what?

A
Constant
B
Radially inward and proportional to r
C
Zero
D
Inversely proportional to r²

Question 90Single Answer

At a distance r from the centre of a spherical mass M, the gravitational potential is what?

A
GM/r
B
−GM/r
C
−GM/r²
D
GM/r²

General Studies

Question 91Single Answer

What is the total size of the Uttar Pradesh Budget for 2026–27?

A
₹7,92,696.35 crore
B
₹8,12,696.35 crore
C
₹9,12,696.35 crore
D
₹10,12,696.35 crore

Question 92Single Answer

The Uttar Pradesh Budget 2026–27 is approximately what percentage higher than the Budget Estimates for 2025–26?

A
8.5%
B
12.9%
C
10.2%
D
15.4%

Question 93Single Answer

What amount was allocated for capital expenditure in the UP Budget 2026–27?

A
₹2,48,225.80 crore
B
₹1,48,225.80 crore
C
₹3,48,225.80 crore
D
₹4,48,225.80 crore

Question 94Single Answer

New schemes worth approximately how much were included in the Uttar Pradesh Budget 2026–27?

A
₹23,565.33 crore
B
₹33,565.33 crore
C
₹43,565.33 crore
D
₹53,565.33 crore

Question 95Single Answer

What is the approximate length of the Ganga Expressway inaugurated in Uttar Pradesh in April 2026?

A
394 km
B
494 km
C
694 km
D
594 km

Question 96Single Answer

The Ganga Expressway was inaugurated in which Uttar Pradesh district in April 2026?

A
Agra
B
Jhansi
C
Gorakhpur
D
Hardoi

Question 97Single Answer

Which city became the site of the simultaneous inauguration of Namo Bharat Rapid Rail and Metro services in February 2026?

A
Agra
B
Prayagraj
C
Meerut
D
Varanasi

Question 98Single Answer

The Namo Bharat Rapid Rail and Meerut Metro were inaugurated together in which year?

A
2026
B
2025
C
2024
D
2027

Question 99Single Answer

Which highway project approved in March 2026 connects Barabanki with Bahraich?

A
NH-27
B
NH-927
C
NH-19
D
NH-34

Question 100Single Answer

What is the approximate length of the approved Barabanki–Bahraich access-controlled highway project?

A
51.515 km
B
101.515 km
C
75.515 km
D
151.515 km

Question 101Single Answer

The Barabanki–Bahraich highway project approved in 2026 is to be implemented under which model?

A
EPC only
B
Build-Lease-Transfer
C
Hybrid Annuity Mode
D
State PPP only

Question 102Single Answer

What was the approved cost of the Barabanki–Bahraich NH-927 project?

A
₹4,969.04 crore
B
₹5,969.04 crore
C
₹6,969.04 crore
D
₹7,969.04 crore

Question 103Single Answer

Which Uttar Pradesh city is to receive a 6-lane Greenfield Elevated Corridor connecting NH-19 and its Ring Road?

A
Varanasi
B
Kanpur
C
Meerut
D
Lucknow

Question 104Single Answer

The NH-19–Varanasi Ring Road corridor approved in July 2026 has a total capital cost of approximately?

A
₹10,447.64 crore
B
₹12,447.64 crore
C
₹16,447.64 crore
D
₹14,447.64 crore

Question 105Single Answer

Which riverbank is associated with the elevated NH-31–Varanasi Ring Road corridor approved in July 2026?

A
Yamuna
B
Gomti
C
Varuna
D
Ghaghara

Question 106Single Answer

The Varuna River Bank elevated corridor in Varanasi is approximately how long?

A
23.218 km
B
33.218 km
C
43.218 km
D
53.218 km

Question 107Single Answer

Which road project approved in July 2026 forms part of the Bhopal–Kanpur Economic Corridor?

A
Lucknow–Ayodhya Highway
B
Kanpur–Agra Highway
C
Kanpur–Kabrai Highway
D
Prayagraj–Varanasi Highway

Question 108Single Answer

What is the approximate length of the Kanpur–Kabrai access-controlled highway project?

A
87.7 km
B
117.7 km
C
97.7 km
D
137.7 km

Question 109Single Answer

The Kanpur–Kabrai highway project was approved under which implementation mode?

A
BOT Toll
B
HAM only
C
EPC only
D
DBFOT Annuity

Question 110Single Answer

The greenfield connectivity project to Jewar International Airport approved with revised cost in March 2026 is approximately how long?

A
21.42 km
B
31.42 km
C
41.42 km
D
51.42 km

Question 111Single Answer

Jewar International Airport is officially known as?

A
Uttar Pradesh International Airport
B
Yamuna International Airport
C
Noida International Airport
D
Gautam Buddha International Airport

Question 112Single Answer

Noida International Airport is located in which district?

A
Ghaziabad
B
Bulandshahr
C
Hapur
D
Gautam Buddha Nagar

Question 113Single Answer

Which expressway connects Lucknow and Ghazipur?

A
Bundelkhand Expressway
B
Yamuna Expressway
C
Purvanchal Expressway
D
Agra-Lucknow Expressway

Question 114Single Answer

Bundelkhand Expressway primarily improves connectivity in which region of Uttar Pradesh?

A
Rohilkhand
B
Bundelkhand
C
Awadh
D
Braj

Question 115Single Answer

Which Uttar Pradesh city hosted the Maha Kumbh in 2025?

A
Prayagraj
B
Mathura
C
Ayodhya
D
Varanasi

Question 116Single Answer

The Triveni Sangam at Prayagraj is the confluence of Ganga, Yamuna and which traditionally believed river?

A
Narmada
B
Saraswati
C
Godavari
D
Kaveri

Question 117Single Answer

The Uttar Pradesh Defence Industrial Corridor has how many major nodes?

A
Four
B
Six
C
Five
D
Eight

Question 118Single Answer

Which of the following is a node of the Uttar Pradesh Defence Industrial Corridor?

A
Gorakhpur
B
Bareilly
C
Aligarh
D
Moradabad

Question 119Single Answer

Which city is NOT one of the six major nodes of the Uttar Pradesh Defence Industrial Corridor?

A
Jhansi
B
Chitrakoot
C
Kanpur
D
Saharanpur

Question 120Single Answer

One District One Product, widely associated with Uttar Pradesh, is abbreviated as?

A
OSDP
B
ODPD
C
OPOP
D
ODOP

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