CBSE Class XI Physics Term-1 Examination 2026-27 Question Paper

CBSE Class 11 Physics Term-1 Examination 2026-27 Question Paper (PDF, MCQs, Pattern & Marking Scheme)

THE RENAISSANCE SCHOOL, BHANOPLI

Term-1 Examination 2025-26

Class XI – Subject: Physics

Time: 3:00 hours    MM: 70

Name: ____________________    Roll No.: ________    Stream: ________

I) Multiple Choice Questions (1×16=16)

1. The value of 1 μm is:

• (a) 10³ m
• (b) 10^-6 m
• (c) 10^-9 m
• (d) 10^-10 m

2. The dimensions of Planck’s constant are:

• (a) [M⁰L⁰T⁰]
• (b) [M⁰L¹T^-1]
• (c) [M¹L²T^-1]
• (d) [M¹L^-1T^-1]

3. Write the dimensions of a and b in the relation:

p = (b – x²)/(a·t) where p is power, x is the distance, and t is time.

• (a) [M¹L⁰T^-1], [M¹L⁰T⁰]
• (b) [M⁰L¹T^-1], [M¹L^-2T^-2]
• (c) [M^-1L⁰T²], [M⁰L²T⁰]
• (d) [M¹L^-2T^-1], [M¹L⁰T^-1]

4. A car travels along a straight line with speed 40 km/hr from A to B and returns back from B to A with speed 60 km/hr. The average speed is:

• (a) 48 km/hr
• (b) 50 km/hr
• (c) 64 km/hr
• (d) 76 km/hr

5. The horizontal range R is maximum if θ is:

• (a) 30°
• (b) 45°
• (c) 60°
• (d) 90°

6. When the object is moving with increasing acceleration having zero initial velocity is represented as:

7. Two equal forces have their resultant equal to either of them. At what angle they incline:

• (a) 45°
• (b) 60°
• (c) 90°
• (d) 120°

8. A particle has an initial velocity of (3i + 4j) m/s and an acceleration of (0.4i + 0.3j) m/s². Its speed after 10 s is:

• (a) 7 units
• (b) 7√2 units
• (c) 8.5 units
• (d) 10 units

9. In an elevator moving vertically upward with acceleration g, the force exerted on the floor by a passenger of mass M is:

• (a) Mg    (b) 1/2 Mg    (c) 2 Mg    (d) Zero

10. If |A+B| = |A-B|, the angle between A and B is:

• (a) 45°
• (b) 90°
• (c) 120°
• (d) 180°

11. Two blocks of masses 5 kg and 2 kg are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of 14 m/s to heavier block in direction to lighter one. The velocity gained by the centre of mass is:

• (a) 2 m/s
• (b) 5 m/s
• (c) 7 m/s
• (d) 10 m/s

12. If A = (3i - 4j + 5k) and B = (-2i + j - 3k) then the value of |A × B| is:

• (a) √75
• (b) √79
• (c) √85
• (d) √97

13. Assertion: When a body is projected at an angle 45° its range is maximum.
Reason: For maximum range the value of sin2θ should be equal to one.

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

14. Assertion: A rocket in flight is an illustration of a projectile.
Reason: Because rocket is not projected with some initial velocity.

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

15. Assertion: Work done by frictional force is negative.
Reason: Because frictional force acts along the direction of motion.

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

16. Assertion: To unscrew a rusted nut, we need a wrench with a longer arm.
Reason: τ = r × F

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

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(SECTION – B)

Very short questions. Attempt any 5 questions (2×5=10)

1. Convert 1 Joule into Erg.
2. Find the unit vector of A = 4i - 3j + k.
3. Two bodies of masses 1 kg and 2 kg are located at (1,2) and (1,3). Calculate the coordinates of centre of mass.
4. Show that A = 2i - 3j - k and B = -6i + 9j + 3k are parallel.
5. Two forces whose magnitude are in ratio 3:5 give resultant of 28 N. The angle between them is 60°. Find magnitude of each force.
6. Explain with the help of diagram why it is easier to pull a lawn roller than to push it.

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(SECTION – C)

Short questions. Attempt any 7 questions (3×7=21)

1. State and prove triangle law of vector addition.
2. Derive an expression for bending of cyclist.
3. State and prove work energy theorem.
4. Define the laws of limiting friction and derive the expression of angle of repose.

5. Establish relation between Torque and Moment of Inertia.
6. Obtain an expression for kinetic energy of rotation of a body.
7. Derive an expression for centre of mass of two particle system.
8. Derive an expression for connected motion between two bodies.
9. State and prove theorem of perpendicular axes.

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(SECTION – D)

IV) Read the case study given below and answer the given questions : (4 × 2 = 8)

1. Potential energy is the energy stored within an object, due to the object's position, arrangement or state. Potential energy is one of the two main forms of energy, along with kinetic energy. Potential energy depends on the force acting on the two objects.

a) A body is falling freely under the action of gravity alone in vacuum. Which of the following quantities remains constant during the fall?

1. kinetic energy
2. potential energy
3. mechanical energy
4. none of these

b) When does the potential energy of a spring increases?

1. only when spring is stretched
2. only when spring is compressed
3. both a and b
4. none of these

c) Dimensions of spring constant K are:

1. [M¹L²T⁻¹]
2. [M¹L⁰T⁻¹]
3. [M¹L⁰T⁻²]
4. [M¹L²T¹]

d) A vehicle of mass 5000 kg climbs up a hill of 10 m. The potential energy gained by it

1. 5 J
2. 500 J
3. 5 × 10⁴ J
4. 5 × 10⁵ J

OR

What are conservative forces. Prove that gravitational forces are conservative forces.

2. Centre of Mass

The centre of mass of a body or a system of bodies is the point which moves as though all of the mass were concentrated there and all external forces were applied to it. Hence, a point at which the entire

The mass of the body or system of bodies is supposed to be concentrated is known as the centre of mass. If a system consists of more than one particle (or bodies) and net external force on the system in a particular direction is zero with centre of mass at rest. Then, the centre of mass will not move along that direction. Even though some particles of the system may move along that direction.

(1) Two bodies of masses 1 kg and 2 kg are lying in xy-plane at (-1, 2) and (2, 4), respectively. What are the coordinates of the centre of mass?

• (a) (1,0)
• (b) (1,10/3)
• (c) (0,1)
• (d) None of these

(2) What is the center of mass of a system of particles?

• a) The point where the entire mass of the system is concentrated.
• b) The point about which the system rotates.
• c) The point where the net external force acts on the system.
• d) The point where the system's potential energy is minimum.

(3) Which of the following is an example of a body whose center of mass is outside the body?

• a) A solid sphere.
• b) A ring.
• c) A cube.
• d) A cylinder.

(4) Two vectors have their scalar magnitude as |a| = 2√3 and |b| = 4, while the angle between the two vectors is 60°. The value of |a × b| is:

• a) 9n
• b) 10n
• c) 11n
• d) 12n

OR

Derive an expression for the apparent weight of a man in a lift.

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(Section – E)

(5×3=15)

1. Find (a) Time of flight (b) Maximum height (c) Horizontal range (d) Maximum horizontal range for a projectile projected from ground.
2. Define banking of road and obtain the expression for maximum velocity of vehicle on a banked road.
3. Derive an expression for elastic collision in one dimension and also obtain expressions for velocities of the two bodies after such collision.

Answer Key – MCQs

1. b
2. a
3. c
4. a
5. b
6. d
7. d
8. b
9. c
10. b
11. d
12. a
13. a
14. d
15. c
16. a

Case Study: Potential & Kinetic Energy

1. 3
2. 3
3. 3
4. 4

Centre of Mass – MCQs

1. b (1, 10/3)
2. a
3. b
4. d