The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its

Options

A. force
B. momentum
C. work done
D. energy

Explanation

To solve the question, we need to understand the relationship between impulse, force, and momentum. Let's break it down step by step.

### Step-by-Step Solution:

1. **Understanding Impulse**:
Impulse (J) is defined as the product of the average force (F) acting on an object and the time interval (Δt) during which the force acts. Mathematically, it can be expressed as:
\[ J = F \cdot \Delta t \]

2. **Newton's Second Law**:
According to Newton's second law, the force acting on an object is equal to the rate of change of momentum (p) of that object. This can be expressed as:
\[ F = \frac{dp}{dt} \]
where \( p \) is the momentum of the object.

3. **Relating Impulse to Momentum**:
If we integrate the force over the time interval Δt, we can express the change in momentum as:
\[ J = \Delta p = p_f - p_i \]
where \( p_f \) is the final momentum and \( p_i \) is the initial momentum.

4. **Conclusion**:
Therefore, the impulse on a particle due to a force acting on it during a given time interval is equal to the change in its momentum. Thus, we can conclude:
\[ J = \Delta p \]

### Final Answer:
The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its momentum.