Assertion: Newton's second law of motion gives the measurement of force.
Reason: According to Newton's second law of motion, force is directly proportional to the rate of change of momentum.

Options

A. If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
B. If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
C. If Assertion is Trie but the Reason is False.
D. If both Assertion `&` Reason are false

Explanation

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that "Newton's second law of motion gives the measurement of force."
- According to Newton's second law, the force acting on an object is equal to the rate of change of momentum of that object. This can be mathematically expressed as:
\[ F = \frac{dp}{dt} \]
where \( F \) is the force, \( p \) is the momentum, and \( t \) is time. This means that force can indeed be measured using the change in momentum over time.

### Step 2: Understand the Reason
The reason states that "According to Newton's second law of motion, force is directly proportional to the rate of change of momentum."
- This is a direct application of the second law. It states that if the momentum of an object changes, then a force must be acting on it, and the magnitude of that force is proportional to how quickly the momentum is changing.

### Step 3: Evaluate the Truth of Both Statements
- Both the assertion and the reason are true. The assertion correctly identifies that Newton's second law provides a way to measure force, and the reason accurately describes the relationship between force and momentum change.

### Step 4: Determine the Relationship Between Assertion and Reason
- Since the reason provides a correct explanation for the assertion, we conclude that both statements are true, and the reason is indeed the correct explanation for the assertion.

### Conclusion
Thus, the answer to the question is that both the assertion and the reason are true, and the reason is the correct explanation for the assertion.

### Final Answer
Both the assertion and reason are true, and the reason is the correct explanation for the assertion.

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