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Assertion : Impulsive force is large ar...

Assertion : Impulsive force is large are acts for a short time.
Reason : Finite change in momentum should be produced by the force.

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will analyze both the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states that "Impulsive force is large and acts for a short time." - Impulsive forces are indeed characterized by being very large in magnitude and acting over a very short duration. This is typically seen in collisions or impacts where a large force is applied in a brief moment. **Hint:** Recall the definition of impulsive forces and consider examples like collisions. ### Step 2: Understanding the Reason The reason states that "Finite change in momentum should be produced by the force." - According to the impulse-momentum theorem, the impulse (which is the product of force and the time duration it acts) is equal to the change in momentum of an object. Therefore, a large force acting over a short time can indeed produce a finite change in momentum. **Hint:** Think about how impulse relates to momentum change and the formula \( \text{Impulse} = \Delta p \). ### Step 3: Connecting Assertion and Reason Now, we need to connect the assertion and the reason: - The assertion describes the nature of impulsive forces, while the reason explains why such forces can produce a change in momentum. The reason supports the assertion by explaining that the large force acting for a short time results in a finite change in momentum. **Hint:** Consider how the definitions of impulse and momentum relate to each other. ### Step 4: Conclusion Based on the analysis: - Both the assertion and the reason are correct. - The reason provides a correct explanation for the assertion. Thus, the answer to the question is that both the assertion and the reason are correct, and the reason is the correct explanation of the assertion. **Final Answer:** Both assertion and reason are correct, and the reason is the correct explanation of the assertion.

To solve the question, we will analyze both the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states that "Impulsive force is large and acts for a short time." - Impulsive forces are indeed characterized by being very large in magnitude and acting over a very short duration. This is typically seen in collisions or impacts where a large force is applied in a brief moment. **Hint:** Recall the definition of impulsive forces and consider examples like collisions. ...
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