Class 11 PT I Question Paper 2025-26 Physics

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UNIT TEST-1 (2025-26)
SET: - 1 CLASS: - XI SUBJECT: - PHYSICS TIME: - 90 min. M. M. : - 40
GENERAL INSTRUCTIONS: -
1) There are 18 questions in all. All questions are compulsory.
2) This question paper has FIVE sections: Section A, Section B, Section C, Section D and
Section E.
3) Section A contains EIGHT questions of ONE mark each; Section B contains THREE
questions of TWO marks each, Section C contains FOUR questions of THREE marks
each, Section D contains ONE question of FOUR marks and Section E contains TWO
questions of FIVE marks each.

Q. NO. SECTION: - A MARKS
1. The velocity of train increases uniformly from 20 km/h to 60 km/h in 4 hours. The 1
distance travelled by the train during this period is –
(a) 160 km (b) 180 km (c) 100 km (d) 120 km
2. If a vector 2𝑖̂+ 3̂𝑗 + 8𝑘 is perpendicular to the vector −4𝑖̂ + 4𝑗̂ + 𝑚𝑘̂ , then the
̂ 1
value of m is –
(a) 1/2 (b) -1/2 (c) 1 (d) 1
3. A car moves along a straight line, whose equation of motion is given by 1
x = 12t + 3t2 – 2t3 , where x is in metres and t in seconds. The velocity of the car at
the start will be
(a) 7 m/s (b) 9m/s (c) 12 m/s (d) 16m/s
4. Identify the pair whose dimensions are equal - 1
(a) torque and work (b) stress and energy
(c) force and stress (d) force and work
5. The significant figures of the number 6.0023 are - 1
(a) 3 (b) 5 (c) 2 (d) 4
6. If percentage error in a, b, c & d is given by 2%, 4%, 1%, 3 % respectively and 1
then percentage error in Z is given by-
(a) 21% (b) 20% (c) 10% (d) 12%
ASSERTION AND REASON: -
In the following questions have two statements- one labeled Assertion (A) and the
other labeled Reason (R). Select the correct answer to these questions from the
codes (a), (b), (c) and (d) as given below
(a) Both Assertion and Reason are true and Reason is the correct explanation of
Assertion.
(b) Both Assertion and Reason are true and Reason is not the correct explanation
of Assertion.
(c) Assertion is true but Reason is false.

(d) Assertion is false but Reason is true.
7. Assertion (A): The displacement of a body may be zero, when distance travelled 1
by it is not zero.
Reason (R): The displacement is the longer distance between initial and final
points.

8. Assertion (A): In javelin throw, the athlete throws the projectile at an angle slightly 1
more than 450
Reason (R): The maximum range does not depend upon angle of projection.
SECTION : - B
9. Derive first equation of motion by calculus method. 2
10. Find the scalar and vector product of two vectors a = ̂- 4̂ + ̂ and 2
b=− ̂+̂− ̂ .
11. Explain how does Newton’s second law of motion give a quantitative definition of 2
force.
SECTION: - C
12. A body covers 12 m in 2nd sec and 20 m in 4th sec. How much distance will it cover 3
in 5 seconds after the 5th sec?
13. Draw the position – time graph for the following cases: 3
(a) For a stationary object
(b) For uniform motion
(c) For uniformly accelerated motion.
14. The Vander Wall’s equation for a gas is (P + 𝑉 ) ( V – b ) = RT 3
Determine the dimensions of a and b. Hence write the SI unit of a and b.
15. Two vectors A and B are inclined to each other at an angle θ. Using parallelogram 3
law of vector addition, find the magnitude and direction of their resultant.
SECTION: - D
16. CASE STUDY BASED [ 1 X 4 = 4 M ] 4
When a body moves along a circular path with a uniform speed ,its motion is said to
be uniform circular motion. In uniform circular motion, the direction of velocity
vector which acts along the tangent to the path changes continuously but its
magnitude (v = r ω) always remains constant. So uniform circular motion is an
accelerated motion. A body undergoing uniform circular motion is acted upon by an
acceleration which is directed
along the radius towards the centre of the circular path, This acceleration is called
centripetal acceleration. The magnitude of the acceleration is constant given by
𝒗
ac = 𝒓 = ω2r
But the direction of ac changes continuously, always pointing towards the centre. So
centripetal acceleration is not a constant vector. The resultant acceleration of the
body in circular motion is towards the centre only if its speed is constant.

Answer any four:

(I) A body executing uniform circular motion has at any instant its velocity vector
and acceleration vector -
(a) along the same direction (b) in opposite direction
(c) normal to each other (d) not related to each other.

(II) The angular speed of a fly-wheel making 120 revolution / minute is -
(a) π rad/sec (b) 4π rad/sec (c) 2π rad/sec (d) 4π2rad/sec

(III) A particle moves with constant speed v along a circular path of radius r and
complete the circle in time T. The acceleration of the particle is -
(a) 2πv/T (b) 2πr / T (c) 2πr2 / T (d) 2πv2 / T

( IV) Which of the following statement is false for a particle moving in a circle with
a constant angular speed ?
(a) The velocity vector is tangent to the circle
(b) The acceleration vector is tangent to the circle
(c) The acceleration vector points to the centre of the circle
(d) The velocity and acceleration vectors are perpendicular to each other.

( V ) A body is whirled in a horizontal circle of radius 20 cm. It has an angular
velocity of 10 rad/s. What is its linear velocity at any point on circular path?
(a) 20 m/s (b) 5 m/s (c) 10 m/s (d) 2m/s
SECTION: - E
17. (a) A projectile is fired with initial velocity u making an angle θ with the horizontal. 3+2
Derive an expression for
(i) time of flight
(ii) maximum height
(iii) horizontal range.
(b) Show that for two complementary angles of projection of a projectile thrown with the
same velocity, the horizontal ranges are equal.
18. (a) The radius of a sphere is 1.41 cm. Express its volume to an appropriate number 2+3
of significant figures.
(b) The frequency ‘ν’ of vibration of a stretched string depends upon (i) its length l,
(ii) its mass per unit length ‘m’ and (iii) the tension T in the string. Obtain
dimensionally an expression for frequency.

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