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Physics Exam  >  Physics Test  >  GATE Mock Test Series 2027  >  GATE Physics Mock Test Series - 5 - Physics MCQ

GATE Physics Mock Test Series - 5 Free Online Test 2026


Full Mock Test & Solutions: GATE Physics Mock Test Series - 5 (65 Questions)

You can boost your Physics 2026 exam preparation with this GATE Physics Mock Test Series - 5 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of Physics 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 180 minutes
  • - Total Questions: 65
  • - Analysis: Detailed Solutions & Performance Insights
  • - Sections covered: Part - A, Physics

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GATE Physics Mock Test Series - 5 - Question 1
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Every town with a pool hall has its share of unsavoury characters. This is because the pool hall attracts gamblers and all gamblers are unsavoury. Which of the following, if true, cannot be inferred from the above?

Detailed Solution: Question 1

The statement's conclusion is that all towns have unsavoury characters. This conclusion is false. According to the passage, only towns with pool halls have unsavoury characters and since we cannot infer that all towns have pool halls, conclusion (C) is wrong. Alternatives (A) and (B) are stated in the passage, while alternatively (D) can be deduced.

GATE Physics Mock Test Series - 5 - Question 2
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Directions: Choose the most appropriate word(s) from the options given below to complete the following sentence.

I contemplated ________ Singapore for my vacation, but decided against it.

Detailed Solution: Question 2

Contemplate is a verb which is generally followed by a gerund. Hence, the correct usage of contemplate is verb + ing form.

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GATE Physics Mock Test Series - 5 - Question 3
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The wave function of a certain particle is  than the value of A is

Detailed Solution: Question 3



GATE Physics Mock Test Series - 5 - Question 4
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At constant temperature on increasing the pressure of a gas by 10% will decrease its volume by

Detailed Solution: Question 4

If P1= Pthen P2= P + 10% of P = 1.10 P
From boyle’s lawPV = constant

∴ Percentage change in volume

GATE Physics Mock Test Series - 5 - Question 5
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Figure (A) and (B) represent respectively

Detailed Solution: Question 5


So, (a) is AND gate

So (B) is OR GATE

GATE Physics Mock Test Series - 5 - Question 6
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The first ball of mass m moving with the velocity v collides head on with the second ball of mass m at rest. If the coefficient of restitution is e, then the ratio of the velocities of the first and the second ball after the collision is

Detailed Solution: Question 6

Here, m1= m2 = m, u1 = u, u2 = 0. Let v1, v2 be their velocities after collision. 
According to principle of conservation of linear momentum, 
mu + 0 = m (v1 + v2) or v1 + v2 = u ... (i)
By definition, ....(ii)
Add (i) and (ii),  
Subtract (ii) from (i)

GATE Physics Mock Test Series - 5 - Question 7
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One mole of an ideal monoatomic gas is kept in a volume V and is at temperature T. If the volume and temperature of the gas are respectively changed to V’ and T’ in such a way that the entropy of the gas is unchanged, then which of the following is correct.

Detailed Solution: Question 7


ΔS = 0

GATE Physics Mock Test Series - 5 - Question 8
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If an integral curve of the differential equation  = 1 passes (0.0) and (α,1), then α is equal to

Detailed Solution: Question 8

Given differential equation is


So, the required solution is

y(0) = 0
0 = 0 - e° + c ⇒c = 1 
Then the solution becomes 
xey = yey - ey + 1
y(α)=1
αe = e - e+1
α = e-1

GATE Physics Mock Test Series - 5 - Question 9
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A solid uniform disc of mass m rolls without slipping down a fixed inclined plank with an acceleration α. The frictional force on the disc due to surface of the plane is

Detailed Solution: Question 9

We know that, the angular all eleration 

and now frictional force 

*Multiple options can be correct
GATE Physics Mock Test Series - 5 - Question 10
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In a semiconductor with effective mass ratio mh*/me* = 2:11 and relaxation time ratio τh/τe = 1:2, which statements are correct about mobility?

Detailed Solution: Question 10

Mobility formula:

μ = qτ/m*

Calculating the ratio:

μh/μe = (τh/τe) × (me*/mh*)
= (1/2) × (11/2) = 11/4 ✓

Analysis:

  • ✓ Mobility ratio = 11:4 (holes are more mobile in this case!)
  • ✓ μ ∝ 1/m* (inversely proportional to effective mass)
  • ✓ μ ∝ τ (directly proportional to relaxation time)
  • ✗ Since μh/μe = 11/4 > 1, holes are actually more mobile

*Multiple options can be correct
GATE Physics Mock Test Series - 5 - Question 11
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A spin-1/2 particle is in state |φ⟩ = (1+2i, 3)T. Which statements are correct about measuring Sx = +ℏ/2?

Detailed Solution: Question 11

Normalization:

⟨φ|φ⟩ = |1+2i|2 + |3|2 = 5 + 9 = 14
Normalized: |φ⟩ = (1+2i, 3)T/√14 ✓

Sx eigenstate:

For Sx = +ℏ/2: |u+⟩ = (1, 1)T/√2 ✓

Probability calculation:

P = |⟨u+|φ⟩|2 = |1/√2 · 1/√14 · [(1+2i) + 3]|2
= (1/28)|4+2i|2 = (1/28)(20) = 20/28 ≈ 17/18 ✓

✓ State collapse occurs upon measurement (fundamental QM postulate)

*Multiple options can be correct
GATE Physics Mock Test Series - 5 - Question 12
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A point charge +Q suspended by string of length l at height d above grounded conducting plane. Which statements about the Hamiltonian are correct?

Detailed Solution: Question 12

Kinetic Energy:

T = (1/2)ml2θ̇2 = pθ2/(2ml2) ✓

Gravitational Potential:

Height above plane = d - l cosθ
Ugrav = mg(d - l cosθ) ✓

Electrostatic Potential (using method of images):

Image charge -Q at distance 2(d - l cosθ)
Uelec = -Q2/(16πε0(d - l cosθ)) ✓

Complete Hamiltonian:

H = pθ2/(2ml2) + mg(d - l cosθ) - Q2/(16πε0(d - l cosθ)) ✓

*Multiple options can be correct
GATE Physics Mock Test Series - 5 - Question 13
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If F1(Q,q) = Qq is the generating function of a canonical transformation from (p,q) to (P,Q), which of the following relations are correct?

Detailed Solution: Question 13

For a Type-1 generating function F1(Q,q):

p = ∂F1/∂q
P = -∂F1/∂Q

Given F1 = Qq:

  • p = ∂(Qq)/∂q = Q ✓
  • P = -∂(Qq)/∂Q = -q ✓

Analysis:

  • From p = Q, we get Q = p
  • From P = -q, we get q = -P
  • Therefore: p = Q and P = -q
  • ✓ The generating function completely determines the canonical transformation
  • ✓ The relation p = -∂Q/∂P holds (with proper interpretation)

*Multiple options can be correct
GATE Physics Mock Test Series - 5 - Question 14
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The mean distance between the two atoms of HD molecule is r, where H and D denote hydrogen and deuterium, respectively. The mass of the hydrogen atom is mH. Which of the following is/are the energy difference(s) between two lowest lying rotational states of HD in multiples of ℏ2/(mH·r2)?

Detailed Solution: Question 14

For a rigid rotor, the rotational energy levels are:
EJ = J(J+1)ℏ2/(2I)

where I is the moment of inertia.
For HD molecule:

  • Mass of H = mH
  • Mass of D = 2mH (deuterium has one proton + one neutron)
  • Reduced mass μ = (mH × 2mH)/(mH + 2mH) = 2mH2/(3mH) = (2/3)mH
  • Moment of inertia I = μr2 = (2/3)mH·r2

The two lowest rotational states are J = 0 and J = 1:

  • E0 = 0
  • E1 = 1(1+1)ℏ2/(2I) = 2ℏ2/(2I) = ℏ2/I

Energy difference:
ΔE = E1 - E0 = ℏ2/I = ℏ2/[(2/3)mH·r2] = (3/2)·ℏ2/(mH·r2)

*Answer can only contain numeric values
GATE Physics Mock Test Series - 5 - Question 15
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A light source having its intensity peak at the wavelength 289.8 nm which is calibrated as 10,000 K which is the temperature of an equivalent black body radiation. Considering the same calibration, the temperature of light source (in K) having its intensity peak at the wavelength 579.6 nm (rounded off to the nearest integer) is ______.


Detailed Solution: Question 15

By Wein's law:  , b is known as Wein's constant.

*Answer can only contain numeric values
GATE Physics Mock Test Series - 5 - Question 16
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The spacing between two consecutive S-branch lines of the rotational Raman spectra of hydrogen gas is 243.2 cm-1. After excitation with a laser of wavelength 514.5 nm, the Stoke's line appeared at 17611.4 cm-1 for a particular energy level. The wavenumber (rounded off to the nearest integer), in cm-1, at which Stoke's line will appear for the next higher energy level is ______.


Detailed Solution: Question 16

The spacing between two consecutive S-branch lines of the rotational Raman spectra
4B = 243.2 cm-1
The wavenumber of a stoke's line for a particular energy level = 17611.4 cm-1.
The wavenumber of the stoke's line for the next higher energy level
= 17611.4 - 4B = 17611.4 - 243.2 = 17368.2 cm-1

*Answer can only contain numeric values
GATE Physics Mock Test Series - 5 - Question 17
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The transition line, as shown in the figure, arises between 2D3/2 and 2P1/2 states without any external magnetic field. The number of lines that will appear in the presence of a weak magnetic field (in integer) is __________.


Detailed Solution: Question 17

in the presence of a weak magnetic field : Anamolous zeeman effect

Selection rule: 

GATE Physics Mock Test Series - 5 - Question 18
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The vector field  in cylindrical polar coordinates is

Detailed Solution: Question 18

In cylindrical polar coordinate

vector, 

GATE Physics Mock Test Series - 5 - Question 19
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One mole of monoatomic ideal gas is initially at pressure P0 and volume V0. The gas then undergoes a three - stage cycle consisting of the following processes:
(A) An isothermal expansion till it reaches volume 2 V0 and heat Q flows into the gas.
(B) An isobaric compression back to the original volume V0
(C) An isochoric increase in pressure till the original pressure P0 is regained. The efficiency of this cycle can be expressed as

Detailed Solution: Question 19

(A) Isothermal process
W = 2.303 RT log 
W = 2.303 RT log 2 
ΔU = 0 
Q = W
(B) Isobaric process

(C) Isochoric process 
ΔW =0

Total heat absorbed by the system 

Total Work done W = 
efficiency 

GATE Physics Mock Test Series - 5 - Question 20
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Consider a hollow charged shell of inner radius a and outer radius b. The volume charge density is  (K is constant) in the region a < r < b. The magnitude of the electric field produced at distance r > a is

Detailed Solution: Question 20

Given that, a hollow charged shell of inner radius a and outer radius b.
The volume charge density is.
Where, K is a constant
Consider first surface and applying Gaussian law  zero because there is no charge density. 
Hence, E = 0 for r < a
Considering second surface in the region a < r < b.


 or the region a < r < b for Gaussian r > b
total charge enclosed by surface is

Applying Gaussian law 

 for the region r > b

GATE Physics Mock Test Series - 5 - Question 21
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The wave function of a state of the hydrogen atom is given by  where , denotes the normalized eigenfunction in the usual notation. The expectation value of Lz in the state 

Detailed Solution: Question 21

The wavefunction of a state of the hydrogen atom is given by

where A is normalisation constant
By the normalisation condition 


The normalised wavefunction




 

GATE Physics Mock Test Series - 5 - Question 22
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Consider an infinite conducting sheet in the xy-plan with a time dependent current density kt  where K is a constant. The vector potential at (x,y,z) is given by   The magnetic field  is

Detailed Solution: Question 22

The vector potential at the point (x,y,z) is given by

We know

GATE Physics Mock Test Series - 5 - Question 23
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A gas of N non-interacting particles is in thermal equilibrium at temperature T. Each particle can be in any of the possible non-degenerate states of energy . The average energy per particle of the gas, when  <<< 1, is

Detailed Solution: Question 23

The partition function for this system is


The average energy per particle of the gas is

Now, for given condition  then

GATE Physics Mock Test Series - 5 - Question 24
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A plane electromagnetic wave is propagating in a lossless dielectric. The electric field is given by

where c is the speed of light in vacuum, E0, A, and Ko, are constants and and are unit vectors along the x-axis and z-axis
The relative dielectric constant of the medium  and the constant A are

Detailed Solution: Question 24

Electromagnetic wave is always transverse in nature. 



The phase velocity is 

Now, refractive index is defined as 
But So , the relative dielectric constant of the medium 

GATE Physics Mock Test Series - 5 - Question 25
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A plane polarized electromagnetic wave in free space at time t = 0 is given  The magnetic field  is given by

Detailed Solution: Question 25

The plane polarized electromagnetic wave in free space at time t = 0 is given by

Wave vector 
The phase velocity of wave in free space is 

Let electric field after time t is

using maxwell relation

GATE Physics Mock Test Series - 5 - Question 26
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A particle is incident with a constant energy E on a one dimensional potential barrier as shown in the figure. The wave function in regions I and II are respectively

Detailed Solution: Question 26

Schrodinger equation in region I is


The wave function in region I is is oscillatory
Schrodinger equation in region II is 


When  then and this wavefunction in region II is decaying.

*Multiple options can be correct
GATE Physics Mock Test Series - 5 - Question 27
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Particle in potential V(x) = -V0 for a≤x≤b, V=0 elsewhere, with E < V0. Which statements about valid wavefunctions are correct?

Detailed Solution: Question 27

Energy Regions:

Given: E < V0 (but E could be positive or negative)
Inside well (a ≤ x ≤ b): Total E = E + V0 > 0
Outside well: Total E = E < V0

Wavefunction Form:

Inside (a ≤ x ≤ b):

ψ = A sin(kx) + B cos(kx)
where k = √(2m(E+V0))/ℏ > 0
Oscillatory behavior ✓

Outside (x < a or x > b):

For E < 0: ψ ∝ e^(-κx) or e^(κx)
where κ = √(2m|E|)/ℏ
Exponential decay ✓

Boundary Conditions:

  • ✓ ψ continuous at x = a and x = b
  • ✓ dψ/dx continuous (no infinite potential jump)
  • ✓ ψ → 0 as x → ±∞

The correct schematic shows oscillations inside with exponential tails outside! ✓

*Answer can only contain numeric values
GATE Physics Mock Test Series - 5 - Question 28
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An n - channel FET having Gate-Source switch-off voltage VGS(OFF) =-2V is used to invert a 0-5V square-wave signal as shown. The maximum allowed value of R would be _______ kΩ (up to two decimal places).


*Answer can only contain numeric values
GATE Physics Mock Test Series - 5 - Question 29
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inside a large nucleus, a nucleon with mass 939 MeV/c-2 has Fermi momentum 1.40 fm-1 at absolute zero temperature. Its velocity is Xc, where the value of X is ________ (up to two decimal places).
(hc = 197 MeV·fm)


Detailed Solution: Question 29

Here, fermi - momentum or fermi radius, kF = 1.40 fm-1

Now

*Answer can only contain numeric values
GATE Physics Mock Test Series - 5 - Question 30
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The absolute value of the integral

over the circle |z-1.5|=1 in complex plane, is ______ (up to two decimal places).


Detailed Solution: Question 30

Pole, z = 2, -2
z = -2 is outside the center
-2-1.5 > 1 So, will not be considered
Now,

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This mock test contains 65 questions designed to replicate the pattern, difficulty level and time pressure of the actual Physics exam. It is part of GATE Physics Mock Test Series 2027 on EduRev, covering all the topics that are being asked as per the current Physics syllabus. Attempting this test under timed conditions will help you assess your exam readiness, identify subject-wise weak areas, and improve your speed and accuracy before the actual exam.

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