Class 11 Half Yearly Question Paper 2025-26 Physics

CBSE CLASS 11
Half Yearly Question Paper
Session 2025-26

PHYSICS

Exam CBSE Class 11
Subject Physics
Session 2025-26
Document Type Half Yearly Question Paper

Notes · Sample Papers · Previous Year Papers · Mock Tests

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Question Paper
HALF YEARLY EXAMINATION
SESSION: 2025-2026 ag
CLASS: XI MAXIMUM MARKS: 70
SUBJECT: PHYSICS TIME: 3 HOURS
General Instructions:
(i) This question paper contains 33 questions and has 7 pages. All questions are compulsory.
(ii) This question paper is divided into five sections – A, B, C, D and E.

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(iii) In Section A – Questions no. 1 to 16 are Multiple Choice (MCQ) type questions, carrying 1 mark each.

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(iv) In Section B - Questions no. 17 to 21 are Very Short Answer (VSA) type questions, carrying 2 marks

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each.

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(v) In Section C - Questions no. 22 to 28 are Short Answer (SA) type questions, carrying 3 marks each.

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(vi) In Section D - Questions no. 29 and 30 are case study-based questions, carrying 4 marks each.
(vii) In Section E - Questions no. 31 to 33 are Long Answer (LA) type questions, carrying 5 marks each.
(viii) There is no overall choice given in the question paper. However, an internal choice has been provided
in few questions in all the sections except Section A.
SECTION A
1. Given that: { } 1
Where, and are measured in metres. Choose the correct statement.
(a)� The unit of is same as that of and

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(b)�The unit of is same as that of and

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(c)� The unit of is same as that of but not of

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(d)�The unit of is same as that of

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la 75m and breadth 31.34m after rounding off the
value for correct significant figures is g
2

a (b)
2. The area of a rectangular field (in m ) of length 1

(a)�
(c) (d)

3. Two bodies having masses 𝑎 𝑑 2 are dropped from two different heights 2h and h 1
respectively. The ratio of time taken by two to cover these distances are –
(a)� 1:1 (b) :1
(c) 2:1 (d) 4:1

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4. The sum of two unit vectors is another unit vector, then the magnitude of their difference is, 1

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(a)� 0 (b)

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(c) 1 (d)

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A ball is thrown up with some initial velocity, it hits the ground aand gets rebounded with a 1
ag speed. It goes on hitting the ground and after each hit its speed decreases until it
becomes zero and ball comes to rest finally. Suggest the suitable velocity-time graph for this
situation.

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6. The position of a particle as a function of time is given as x= t3 + 9t - 27. 1
Here the velocity of the particle,
(a) is zero at t = 2s
(b) is zero at t = 3s
(c) is zero at t = 1s
(d) will never be zero for any real value of t.

7. Three forces acting on a body are shown in the figure. To have the resultant force only 1
along the Y-direction, the magnitude of the minimum additional force needed is:

(a) N (b) N
(c) 0.5 N (d) 1.5 N

8. A vector is given as ⃗ = ̂- ̂. The angle it makes with positive y axis is, 1
(a) 300 (b) 600
(c)1200 (d) 1500

9. Two blocks of masses 4 kg and 2 kg in contact lie on a 1
horizontal smooth surface, as shown in figure. The blocks
are pushed with 12 N force. If two blocks are always in
contact then the force at their common interface is
(a) 12 N (b) 8N
(c) 6 N (d) 0
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. c10. Force-time graph for a baseball struck by a bat is shown below. sem
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1

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The change in momentum of baseball is

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(a)� (b)

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(c) (d)

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11. A block is dragged on a smooth plane with the help of a 1

s
rope which moves with a velocity ‘v’ as shown in the
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figure. The horizontal velocity of the block is,
(a)� v
(b)�
(c)� v
(d)�

12. The following forces are acting on a particle 1
(i) (2 ̂ + 3 ̂ – 2 ̂ ) N
(ii) (3 ̂ + – 3 ̂ ) N

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(iii) (-5 ̂ – 2 ̂ + ̂ ) N

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The particle will move in:

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(a)� x-y plane (b) y-z plane (d) along x-axis

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Questions number 13 to 16 are Assertion(A) and Reason(R) type questions. Two statements are given –
one labelled Assertion(A) and the other labelled Reason(R). Select the correct answer from the codes (a),
(b), (c) and (d) as given below.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the
Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the
Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.

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(d) Assertion (A) is false and Reason (R) is also false.

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m (A) : The position-time graph of a uniform motion in one dimensionmof. a body can 1
c. o negative slope. egraph of the
13. Assertion

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Reason (R) : When the speed of body decreases with time, the position-time

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a 14. Assertion (A): The velocity vector of a particle at a point is always along the tangent to the path 1
of the particle at that point.
Reason (R): The net acceleration of a particle in circular motion is always along the radius of
the circle towards the centre.

15. Assertion (A): The apparent weight of a body in an elevator moving with acceleration in 1
downward direction is less than the actual weight of a body.

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Reason (R): The part of the weight is spent in producing downward acceleration, when body is

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in elevator.

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16. Assertion (A): Banking of roads helps vehicles negotiate curves safely by reducing reliance on 1
friction for centripetal force, thus minimizing wear and tear of tyres.
Reason (R): The banking of a road provides a component of the normal reaction force that acts
as the necessary centripetal force.
SECTION B
17. A calorie is a unit of heat or energy and it equals about 4.2 joule, where 1J =1 kgm2s-2. Suppose 2
we employ a system of units in which the unit of mass equals α kg, the unit of length β m and
the unit of time is γ s. Show that a calorie has a magnitude 4.2 α-1β-2γ2 in terms of new units.

18. The velocity-time graph for a particle in motion is shown in the figure. Draw the acceleration- 2
time graph of that motion.

OR
The velocity-time relation of an electron starting from rest is given by v = kt, where k = 2 units.
Calculate the distance traversed by the electron in 3 s.

19. A man of mass 60 kg is standing on a weighing machine inside a lift. 2
Write down the reading of the weighing machine in newton, when the lift
(i) moves upwards with acceleration of .
(ii) moves downwards with acceleration of .
(iii) moves downwards with acceleration of .
(iv) moves upwards with constant speed of .
[take ]

20. A particle slides with a speed 3 m/s at P. When it reaches Q, it 2
acquires a speed of 4 m/s after describing an angle of 600 at O
as shown in the figure. Find the change in the velocity of the
particle between P and Q.

OR
Find the component of 𝑎 ̂ ̂ along the direction of vectors ( ̂ ̂ .
21. A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two 2
smaller nuclei, the products must be emitted in opposite directions.

SECTION C
22. An artificial satellite orbits a planet with a radius ‘R’ in a circular path of radius ‘r’. It is 3
observed that the square of the time period ‘T’ is proportional to the cube of the orbit radius ‘r’.
Additionally; ‘T’ depends on ‘g’ (acceleration due to gravity) and ‘R’. Determine the expression
for the time period of the satellite using dimensional analysis.

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m. 23. (i) If α = s em
se a constant ‘h’ be
lPlanck’s
3

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loge( ) ; where F = force and v = velocity. Then find the dimension of .

a
(ii) If the velocity of light ‘c’, the constant of gravitation ‘G’ and
chosen as fundamental units, find the dimension of mass.

24. Find a vector whose length is 7 and which is perpendicular to each of the vectors: 3
̂ ̂ ̂ and ⃗ ̂ ̂ ̂.

25. An astronaut testing a new rover that moves under uniform acceleration on Mars. The mission 3
control asks the astronaut to derive an equation predicting the rover's velocity after it has

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travelled a displacement. Use calculus to derive the equation of motion for calculating the

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velocity of the rover after covering some displacement.

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26.
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A balloon starts rising from the ground from rest at some constant acceleration. After some time
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a stone is dropped from it. If the stone reaches the ground at the same time in which the balloon
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reached the dropping point from ground, find the acceleration of the balloon.

27. Block Aaand B has mass 2m and m respectively. 3
Surface of the table is frictionless. The block A is
connected to the block C by means of a frictionless
string pulley system. If the whole system is released,
then find the minimum value of mass of block C so that
B remains stationary with respect to block A. The
coefficient of friction between block A and B is μ.

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OR
A block of mass 10 kg is suspended using two

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massless non stretchable strings from a rigid support

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as shown in the figure. The system is in equilibrium.

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Find the tensions acting in the strings AB and BC.
[Take g = 10 m/s2].
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28. A bird moves with velocity 20 ms in a direction making an angle of 60 with the eastern line 0
3
and 600 with vertical upward. Represent the velocity vector in rectangular form.

SECTION D
Case Study Based Questions
Questions number 29 and 30 are case study based questions. Read the following paragraphs and answer
the questions that follow.
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29. Comprehend the case properly and answer the questions: 4

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One day Boman with his friends Adi, Manav and Roy went for a road trip. Suddenly, they found
a broken parabolic wooden bridge in their horizontal path as shown in figure above. Roy
encouraged them to cross the bridge with the car. Now, Adi, being a smart fellow, calculated the
required speed at point A, so that they could reach to the point B. Finally, they were able to

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cross the bridge successfully without much jerking. [g = 10 m/s2]

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(i) The magnitude of initial velocity of projection of the car was
(a) 10 m/s (b) 10 m/s (c) 15 m/s (d) 15 m/s
(ii) Time taken by them to cross the bridge was
(a) 3 seconds (b) 4 seconds (c) 5 seconds (d) 6 seconds
(iii) Vertical component of velocity of the car at point A was
(a) 10 m/s (b) 10 m/s (c) 15 m/s (d) 15 m/s
OR
Horizontal length (AC) of the bridge was
(a) 40 m (b) 45 m (c) 50 m (d) 55 m
(iv) If they wanted to touch the ground 5 meter ahead of point C, without touching the BC part
of this bridge, the speed of the car at the point A should be
(a) 10 m/s (b) 15 m/s (c) 5 m/s (d) 2 m/s

30. A truck is carrying a load of mass 10 kg at its back as shown in the figure. 4

Initially the truck is moving along a horizontal road with uniform velocity 36 km/h. Then it
accelerates at constant rate and after 10 s its velocity rises to 90 km/h. After that the truck is
brought to rest and is parked on an inclined surface of inclination 150. Given: The coefficient of
limiting friction between the block and truck is 0.2. and the coefficient of sliding friction for the
same is 0.15. [ = 0.96 & ]

(i) The magnitude of force of friction acting on the block when the truck is moving with
uniform velocity is,
(a) 20 N (b) 15 N (c) 10 N (d) zero
(ii) The acceleration of the truck during the above mentioned 10 s is
(a) 2.5 m/s2 (b) 1.5 m/s2 (c) 5.4 m/s2 (d) zero
(iii) The magnitude of force of friction acting on the block when the truck is accelerating is
(a) 20 N (b) 15 N (c) 10 N (d) zero
(iv) If the truck would have accelerated such that its speed rises from 36 km/h to 90 km/h in 5
seconds, then
(a) The block would have remained at rest at the back.
(b) The block would have been in a state of just about to slide back.
(c) The block would have slide back with acceleration 1.5 m/s2
(d) The block would have slide back with acceleration 1 m/s2
OR
When truck is parked over the inclined surface,
(a) the block slides down with an acceleration 1.1 m/s2
(b) the block slides down with an acceleration 0.6 m/s2
(c) the block slides down with an acceleration 1.0 m/s2
(d) the block does not slide down at all.

SECTION E
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. c31. (i) Obtain an expression for the maximum speed with which a vehicle e mcan safely negotiate a 5
m curved road banked at an angle . The coefficient of friction between s
a the wheels and the road is
se and the radius of curvature of the road is a g l
(ii) A train has to negotiate a curve of 400m. By how much should the outer rail be raised with
respect to inner rail for a speed of 54kmh-1? The distance between rails is 1m. [take g = 10 ms-2]
OR
(i) ‘Newton’s 2 law of motion is called the real law of motion’. Obtain Newton’s 1st and 3rd
nd

law using 2nd law of motion to justify the statement.
(ii) A body of mass 1 kg initially at rest explodes and breaks into three fragments of masses in
the ratio 1:1:3. The two pieces of equal mass fly off perpendicular to each other with a speed of

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30m/s each. What is the velocity of the heavier fragment?

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32. (a) An object is thrown vertically upward from the surface of earth such that after 8 seconds it
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(i) the initial evelocity with which the object is thrown upward. l a
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comes back to the ground

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(ii) the maximum reached by the ball.
(b) Draw the vs time, (ii) displacement vs time and (iii) velocity vs time graph of
the motion of the object mentioned in the question (a).
OR
(a) A car starting from rest accelerates at the rate α through a distance S, and then continues at
constant speed for some time t and then decelerates at the rate to come to rest. If the total
distance is 5S, then prove that S = α
(b) The speed vs time graph of a particle, moving along a straight path, is shown in the figure.

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Three different time intervals 1, 2 and 3 are indicated in the graph.

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In which interval
(i) is the average speed greatest?
(ii) is the magnitude of average acceleration greatest?
(iii) the average velocity and average acceleration both have positive values?
(iv) the average velocity has positive value, but the average acceleration has a negative value?

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33. An electron of mass ‘m’ moves with a uniform speed ‘v’ around the nucleus in a circle of radius 5

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(i) Derive an expression for the acceleration of the electron.

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(ii) An object moves at a constant speed along a circular path in a horizontal XY-plane, with

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the centre at the origin. When the object is at x = (-2m), its velocity (-4m/s) ̂ . What is the

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object's acceleration when it is at y = 2m?
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a
OR
(i) State the triangle law of vector addition and find the magnitude and direction of resultant of
two vectors and ⃗ inclined at an angle with each other.
(ii) The sum of the magnitudes of two forces acting at a point is 18N and the magnitude of their
resultant is 12N. If the resultant makes an angle of 90 with the force of smaller magnitude,
what are the magnitudes of the forces?

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