Impulse and Momentum Class 11 | Definition, Formula, MCQs & Notes
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| Impulse explained using a cricket ball collision and force-time relation showing change in momentum. |
IMPULSE
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├── Introduction
│ │
│ ├── Large force may act for a very short time
│ ├── Such force can produce a noticeable change in momentum
│ └── This effect is studied using the concept of impulse
│
├── Example: Ball Hits a Wall
│ │
│ ├── Ball moves towards the wall
│ ├── Ball comes in contact with the wall
│ ├── Contact time is very short
│ ├── Wall exerts a large force on the ball
│ ├── Ball bounces back
│ └── Momentum changes direction
│
├── Need for Impulse
│ │
│ ├── Exact force is difficult to measure
│ ├── Exact contact time is difficult to measure
│ ├── Product of force and time can be measured
│ └── This product is called impulse
│
├── Definition of Impulse
│ │
│ ├── Impulse = Force × Time Duration
│ ├── Symbol: J
│ └── J = FΔt
│
├── Relation with Momentum
│ │
│ ├── Newton's Second Law
│ │ └── F = Δp/Δt
│ │
│ ├── Multiplying by Δt
│ │ └── FΔt = Δp
│ │
│ └── Therefore
│ └── Impulse = Change in Momentum
│
├── Formula
│ │
│ ├── J = FΔt
│ ├── J = Δp
│ └── J = pf − pi
│
├── SI Unit
│ │
│ ├── Newton-second (N·s)
│ ├── kg·m·s⁻¹
│ └── Same as momentum unit
│
├── Impulsive Force
│ │
│ ├── Very large force
│ ├── Acts for a very short duration
│ ├── Produces finite change in momentum
│ └── Called impulsive force
│
├── Characteristics of Impulsive Force
│ │
│ ├── High magnitude
│ ├── Short time interval
│ ├── Sudden action
│ └── Causes significant momentum change
│
├── Examples of Impulsive Force
│ │
│ ├── Bat hitting a cricket ball
│ ├── Football being kicked
│ ├── Hammer striking a nail
│ ├── Bullet hitting a target
│ └── Ball bouncing from a wall
│
├── Newtonian View
│ │
│ ├── Earlier treated separately
│ ├── Modern mechanics makes no distinction
│ ├── Impulsive force is an ordinary force
│ └── Difference:
│ ├── Very large magnitude
│ └── Very short duration
│
└── NEET Quick Revision
│
├── Impulse = Force × Time
├── Impulse = Change in Momentum
├── J = FΔt = Δp
├── Unit = N·s
├── Impulsive force → Large force + Short time
└── Key Examples:
├── Bat–Ball
├── Hammer–Nail
├── Bullet–Target
└── Ball–Wall
Impulse (NEET Level Notes)
1. What is Impulse?
Sometimes a very large force acts on a body for a very short duration of time. Even though the time interval is small, the momentum of the body changes significantly. The effect produced by such a force is called Impulse.
2. Example: Ball Striking a Wall
- Consider a ball moving towards a wall.
- When the ball hits the wall, contact lasts for a very short time.
- During this short interval, the wall exerts a large force on the ball.
- The ball bounces back in the opposite direction.
- Therefore, its momentum changes.
Although the force and contact time are difficult to measure separately, their product can be measured easily.
3. Definition of Impulse
- J = Impulse
- F = Force
- Δt = Time interval
4. Relation Between Impulse and Momentum
According to Newton's Second Law of Motion:
Multiplying both sides by Δt:
Therefore,
- pf = Final Momentum
- pi = Initial Momentum
5. SI Unit of Impulse
Since:
SI Unit:
Since impulse equals change in momentum, it can also be written as:
6. Impulsive Force
7. Characteristics of Impulsive Force
- Very large magnitude.
- Acts for a very short duration.
- Produces a noticeable change in momentum.
- Can change speed, direction, or both.
8. Examples of Impulsive Forces
- Bat hitting a cricket ball.
- Football being kicked.
- Hammer striking a nail.
- Bullet hitting a target.
- Ball bouncing from a wall.
9. Important Concept
In earlier days, impulsive forces were treated as different from ordinary forces. However, according to Newtonian Mechanics, there is no special distinction.
NEET Quick Revision
- Impulse = Force × Time
- Impulse = Change in Momentum
- Formula: J = FΔt = Δp
- SI Unit: N·s or kg·m/s
- Impulsive Force: Large force acting for a short time.
- Examples: Bat-ball collision, hammer-nail, bullet-target, ball-wall collision.
CBSE Class 11 Physics – Impulse and Impulsive Force Question Bank with Answers
A. Multiple Choice Questions (MCQs)
1. Impulse is equal to:
a) Force × Velocity
b) Force × Time
c) Mass × Velocity
d) Work Done
Answer: (b) Force × Time
2. The SI unit of impulse is:
a) Newton
b) Joule
c) Newton-second
d) Watt
Answer: (c) Newton-second
3. Impulse is equal to:
a) Change in velocity
b) Change in force
c) Change in momentum
d) Change in acceleration
Answer: (c) Change in momentum
4. An impulsive force acts for:
a) Long duration
b) Infinite duration
c) Very short duration
d) Zero duration
Answer: (c) Very short duration
5. Which of the following is an example of impulsive force?
a) Gravitational force
b) Frictional force
c) Bat hitting a ball
d) Magnetic force
Answer: (c) Bat hitting a ball
6. If force doubles and time halves, impulse becomes:
a) Double
b) Half
c) Same
d) Zero
Answer: (c) Same
7. The dimension of impulse is:
a) [MLT-1]
b) [ML2T-2]
c) [MLT-2]
d) [M0LT-1]
Answer: (a) [MLT-1]
8. Impulse-momentum theorem is based on:
a) Newton's First Law
b) Newton's Second Law
c) Newton's Third Law
d) Law of Gravitation
Answer: (b) Newton's Second Law
9. A force of 20 N acts for 5 s. Impulse is:
a) 4 Ns
b) 25 Ns
c) 100 Ns
d) 200 Ns
Answer: (c) 100 Ns
10. Impulse has the same unit as:
a) Energy
b) Work
c) Momentum
d) Power
Answer: (c) Momentum
B. Very Short Answer Questions (1 Mark)
1. Define impulse.
Answer: Impulse is the product of force and the time interval for which it acts.
2. Write the formula for impulse.
Answer: J = FΔt
3. State the SI unit of impulse.
Answer: Newton-second (N·s).
4. What is impulsive force?
Answer: A large force acting for a very short time is called an impulsive force.
5. What physical quantity does impulse change?
Answer: Momentum.
C. Short Answer Questions (2–3 Marks)
1. Show that impulse equals change in momentum.
Answer:
From Newton's second law,
F = Δp/Δt
Multiplying by Δt,
FΔt = Δp
Therefore,
Impulse = Change in Momentum
2. Why is a batsman allowed to move his hands backward while catching a ball?
Answer: Moving the hands backward increases the time of impact. Since impulse remains constant, force decreases. Therefore, the catch becomes easier and safer.
3. Give three examples of impulsive force.
Answer:
- Bat striking a cricket ball.
- Hammer striking a nail.
- Bullet hitting a target.
4. Write any two characteristics of impulsive force.
Answer:
- It has a very large magnitude.
- It acts for a very short duration.
5. Why does a karate player break bricks with a quick blow?
Answer: The hand applies a large force for a very short duration, producing a large impulse that breaks the bricks.
D. Long Answer Questions (5 Marks)
1. Define impulse and derive the relation between impulse and momentum.
Answer:
Impulse is the product of force and the time interval during which it acts.
Impulse = Force × Time
According to Newton's Second Law,
F = Δp/Δt
Multiplying both sides by Δt,
FΔt = Δp
Therefore,
Impulse = Change in Momentum
J = FΔt = Δp
The SI unit of impulse is Newton-second (N·s).
2. Explain impulsive force with examples.
Answer:
An impulsive force is a large force acting for a very short duration producing a finite change in momentum.
Characteristics:
- Large magnitude.
- Short duration.
- Produces considerable change in momentum.
- Bat hitting a ball.
- Hammer striking a nail.
- Bullet striking a target.
- Ball rebounding from a wall.
E. Assertion and Reason Questions
1. Assertion (A): Impulse is equal to change in momentum.
Reason (R): Newton's second law leads to the relation FΔt = Δp.
Answer: Both A and R are true and R is the correct explanation of A.
2. Assertion (A): Impulsive force acts for a long time.
Reason (R): Impulsive force is very large in magnitude.
Answer: A is false but R is true.
3. Assertion (A): Impulse has the same unit as momentum.
Reason (R): Impulse equals change in momentum.
Answer: Both A and R are true and R correctly explains A.
4. Assertion (A): Catching a ball with rigid hands is safer.
Reason (R): Force decreases when contact time increases.
Answer: A is false but R is true.
F. Fill in the Blanks
- Impulse is the product of Force and time.
- Impulse is equal to change in Momentum.
- SI unit of impulse is Newton-second.
- A large force acting for a short time is called an Impulsive force.
- Impulse and momentum have the same Unit.
- Bat striking a ball is an example of Impulsive force.
- Impulse is represented by the symbol J.
- Impulsive force acts for a very Short duration.
G. Statement-Based Questions (True/False)
- Impulse equals force divided by time. — False
- Impulse equals force multiplied by time. — True
- Momentum changes when impulse acts. — True
- Impulsive force acts for a long duration. — False
- Newton-second is the SI unit of impulse. — True
- A hammer striking a nail is an example of impulsive force. — True
- Impulse and work have the same unit. — False
- Impulse can change the direction of motion. — True
H. Match the Following
| Column A | Column B |
|---|---|
| 1. Impulse | a. Change in momentum |
| 2. N·s | b. Unit of impulse |
| 3. Bat hitting ball | c. Impulsive force |
| 4. FΔt | d. Impulse formula |
Answers:
1 → a
2 → b
3 → c
4 → d
I. Case Study Questions
Case Study 1
A cricket player catches a fast-moving ball by moving his hands backward while catching it.
1. Why does the player move his hands backward?
Answer: To increase the time of impact.
2. What happens to the force when impact time increases?
Answer: Force decreases.
3. Which concept explains this phenomenon?
Answer: Impulse.
4. What remains constant during catching?
Answer: Change in momentum (Impulse).
Case Study 2
A hammer strikes a nail for a very short time and drives it into a wooden block.
1. What type of force acts on the nail?
Answer: Impulsive force.
2. Why is the force called impulsive?
Answer: It is very large and acts for a very short time.
3. What quantity changes due to impulse?
Answer: Momentum.
4. State the formula of impulse.
Answer: J = FΔt
Important CBSE Exam Definitions
Impulse:
The product of force and time interval during which it acts is called impulse.
Impulsive Force:
A large force acting for a very short duration producing a finite change in momentum is called an impulsive force.
Impulse-Momentum Theorem:
Impulse acting on a body is equal to the change in momentum of the body.

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