Class 11 PT I Question Paper 2026-27 Physics

CBSE CLASS 11
PT I Question Paper
Session 2026-27

PHYSICS

Exam CBSE Class 11
Subject Physics
Session 2026-27
Document Type PT I Question Paper

Notes · Sample Papers · Previous Year Papers · Mock Tests

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Question Paper

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SESSION: 2026-2027
CLASS:XI MAXIMUM MARKS:40
SUBJECT: PHYSICS TIME:1 Hour 30 Minutes

GENERAL INSTRUCTIONS:
� All questions are compulsory. However, there are some internal choices in some questions.

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� There are 18 questions in this question paper and four printed pages.

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� SECTION: A consists of 6 questions of which 4are multiple-choice questions and 2 are Assertion-Reason

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based questions carrying 1 mark each.

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� SECTION: B consists of 5 short answer questions carrying 2 marks each.
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� SECTION: C consists of 5 short answer questions carrying 3 marks each.

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� SECTION: D consists of 1 case-based question carrying 4 marks.
� SECTION: E consists of 1 long answer question carrying 5 marks.

Section: A
1. If frequency (F), velocity (V) and density (D) are considered as fundamental units, the 1
dimensional formula for momentum will be
(A) �𝐷𝑉𝐹 � �
(B) [𝐷𝑉 � 𝐹 −� �
(C) [𝐷� 𝑉 � 𝐹 � �
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(D) �𝐷𝑉 � 𝐹 −� �

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2. If the values of two physical qualities are, A = (1.0 ± 0.2)m, B = (2.0 ± 0.2) m respectively, 1

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then, the value of ��with significant digit will be

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(A) 1.4 m ± 0.4 m
(B) 1.41 m ± 0.15 m
(C)1.4 m ± 0.3 m
(D) 1.4 m ± 0.2 m
3. The displacement-time graph is shown is shown in figure which of the following is correct. 1
(A) Acceleration at point B,a>0
(B) At point C both velocity and acceleration are zero
(C)The average velocity between A and D is positive
(D) Velocity at point D is less than that at point E.

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4. A ball is thrown up with some initial velocity; it hits the ground and get rebounded with a 1

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reduced speed. It goes on hitting the ground and after each hit its speed decreases until it

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becomes zero and ball comes to rest finally. Suggest the suitable velocity-time graph for this
situation.
(A) (B)

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(C) (D)

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For given questions, from Q. No. 5 to Q. No 6, two statements are given - one labelled as Assertion
(A) and the other is labelled Reason (R). Select the correct answers to this question from the codes
(A), (B), (C) and (D) as given below:
(A) Both A and R are true and R is the correct explanation of the assertion.
(B) Both A and R are true but R is not the correct explanation of the assertion.
(C) A is true but R is false.
(D) A is false but R is also false.
5. Assertion (A): The method of dimensional analysis cannot validate the exact relationship between 1
physical quantities having same dimension.
Reason (R): It does not distinguish between the physical quantities having same dimensions.
6. Assertion (A):For a particle in one-dimensional motion, a positive value of acceleration does 1
not necessarily mean the particle is speeding up.
Reason (R): Speeding up occurs only when the acceleration is in the same direction as the
velocity.
Section: B
7. If 𝑣 � �𝑝�� − 𝑒 −𝑞𝑥𝑡
� where v, x and t represent speed, displacement and time respectively. 2
Determine the units of p and q in SI system.
8. If the velocity of light c, the gravitational constant G and Planck constant h are chosen as the 2
fundamental units, find the dimensions of length in the new system.
9. An object falling through a fluid is observed to have acceleration 𝑎 � 𝑔 − 𝑏𝑣���where g is the 2
acceleration due to gravity and b is a constant. After a long time of release, it is observed to fall
with constant speed. What must be the value of the constant speed.
10. The relation between t and distance x is t = ax2 + bx + c where a,b andc are constants. Express 2
the instantaneous acceleration in terms of instantaneous velocity.
11. A. The acceleration versus time graph of a particle moving 2
along a straight line is shown in the figure. Draw the respective
velocity-time graph with proper data. Given that,
v =0 at t =0.

OR
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B. A particle moves along a straight path such that the graph
betweenitsvelocity and displacement is shown in figure.Draw the
corresponding acceleration–displacement graph with appropriate
data markings on theaxes.

Section: C
12. An artificial satellite is revolving around a planet of mass ‘M’ and radius ‘R’ in a circular orbit 3
of radius r. With the help of dimensional analysis if square of time period of the satellite is
directly proportional to the cube of the radius of circular orbit, then show that its time period
𝐾 𝑟�
T= where K is dimensionless constant and g is acceleration due to gravity.
𝑅 𝑔
13. A. The depth d to which a bullet penetrates a human body depends upon (i) coefficient of 3
�
𝐸𝑘 �
elasticity η and (ii) kinetic energy Ek. By the method of dimensions, show that, d�∝
η
OR
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B. (a) The SI unit of energy is J = kg m2s- 2, that of speed v is ms- 1 and acceleration a is ms- 2

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Which of the formulae for kinetic energy (K) given below can you rule out on the basis of
dimensional arguments (m stands for the mass of the body)?
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(i) K = m2v2 (ii) K = mv2(iii) K = ma (iv) K = mv2
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(b)How will you convert a physical quantity from one unit system to another by method of
dimensions?
14. In a cycling race, cyclist A takes a time t less than cyclist B and reaches the finishing point with 3
a velocity v greater than that of cyclist B. Assuming that both cyclists start from rest and move
with constant accelerations a1 and a2 respectively, show that v = t 𝑎� 𝑎�

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15. A boy throws a stone upwards with an initial speed of 24.5 ms-1. 3

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(i)�Let the highest point of the motion of the stone be the origin (x = 0) and let the time at which
the stone reaches this point be taken as t = 0. If the vertically downward direction is chosen
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as the positive direction, determine the signs of the position, velocity and acceleration of the
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stone during its ascent and descent.
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(ii)�To what height does the stone rise and after how long does the stone return to the boy's
hands? (Take g = 9.8 ms-2 and neglect air resistance)
16. The retardation experienced by a moving car after its engine is switched off is given by− 3
𝑎 � −𝐾𝑣 � ��where 𝐾 is constant. If 𝑣� is the magnitude of velocity when the engine is switched
𝑣�
off, show that the velocity of the car at a time 𝑡 after switching off the engine is .
���𝐾𝑡𝑣��

Section:D
17. A team of young scientists was developing a new system of measurement for a research 4

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laboratory. Instead of taking mass (M), length (L), and time (T) as fundamental quantities, they

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decided to explore how other physical quantities could be used as base quantities. During their

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discussion, they analysed dimensions of force, stress, strain, specific heat, and wave equations.

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They also examined whether physical equations remain dimensionally consistent and how one

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quantity can be expressed in terms of others.
Based on their observations, answer the following questions:

(i)A physical quantity y has dimensions [ y]= [MaLbTc]. The scientists want to express mass M
in terms of L, T, and y. Under which condition is this possible?
(A) a = 0
(B) a ≠ 0
(C) b = 0
(D) c = 0

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(ii) During an experiment, the force acting on an object is represented by - F = A 𝑥 + B t2,

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where F is force, x is distance, and t is time.What are the dimensions of B

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(A)[M L 2 T - 2]

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(B) [ML𝑇 −� ]
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(C)[L - 1/2 T- 1]

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(D) [LT-2]
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ag iii)A. One researcher claims that the quantity used to measure deformation in a material is
dimensionless. Which of the following supports the claim?
(A) Stress
(B) Strain
(C) Specific heat
(D) Quantity of heat
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(iii)B. A wave is represented by −y = r sin(ω t + kx), where r is amplitude, ω is angular
frequency, and k is wave number.Since the argument of a sine function must be dimensionless,
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which quantity has the same dimensions as kx or ωt?

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(A) r/ ω

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(B) r/y
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(C) ωt/r
(D) yr/ ωt
𝐹𝑎
(iv) A physical quantity is given by - 𝑃 � � 𝜌 𝑏 𝑣 𝑐 ; where F is force, is the density and v is the
velocity. If P is dimensionless, then a, b, c are
(A) a =1, b =1, c = 2
(B)a =1, b =2, c = 1
(C) a =2, b =1, c = 1
(D) a =1, b =1, c = 1
Section: E
18. A.An AI-driven car travels a distance of 3 km between two traffic signals in 5 minutes. It starts 5
from rest, accelerates uniformly for 50 seconds, then moves at a constant speed for 3 minutes,
and finally decelerates uniformly to rest in the last 70 seconds.
(i) Draw the velocity–time graph for the entire motion.
(ii) Using the graphical method, calculate (a) Maximum speed attained, (b) The distance
travelled with uniform speed, and (c) round off value of uniform retardation up to three decimal
places.
(iii) Plot a graph of acceleration vs time for the entire motion.
OR
B.(i)A ball is given an initial velocity 𝒖 on a smooth marble floor and moves along a straight
line. Due to friction, it experiences a constant retardation 𝒂��until it comes to rest.
Use calculus to show that the stopping distance 𝒔 is directly proportional to the square of the
initial velocity.
(ii) An automobile company is testing the braking system of its latest car model. During the test,
the car moving at a speed of 36 km/h comes to rest in 20 meter on applying brakes. Assuming
the braking force remains the same, what will be the minimum stopping distance if the same car
is tested at 72 km/h?

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