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Assertion : Acceleration of a moving par...

Assertion : Acceleration of a moving particle can change its direction without any change in direction of velocity.
Reason : If the direction of change in velocity vector changes, the direction of acceleration vector also changes.

A

If both Assertion and Reason are correct and Reason is the correct explanation of assertion.

B

If both Assertion and Reason are correct but Reason in not the correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "the acceleration of a moving particle can change its direction without any change in the direction of velocity." - Acceleration is defined as the rate of change of velocity. If the velocity changes, then by definition, the acceleration must also change. 2. **Analyzing the Assertion**: - For acceleration to change the direction of a particle's motion, the velocity must also change. - Therefore, the assertion is **incorrect** because acceleration cannot change the direction of motion without affecting the velocity. 3. **Understanding the Reason**: - The reason states that "if the direction of change in the velocity vector changes, the direction of the acceleration vector also changes." - This is a true statement because acceleration is the result of the change in velocity. If the change in velocity (which is a vector) alters direction, then the acceleration (which is also a vector) must change direction as well. 4. **Analyzing the Reason**: - Since the reason correctly describes the relationship between velocity and acceleration, it is **true**. 5. **Conclusion**: - The assertion is false, and the reason is true. Therefore, the correct answer is that the assertion is false, but the reason is true. ### Final Answer: - **Assertion**: False - **Reason**: True

To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "the acceleration of a moving particle can change its direction without any change in the direction of velocity." - Acceleration is defined as the rate of change of velocity. If the velocity changes, then by definition, the acceleration must also change. ...
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Knowledge Check

  • The direction of the angular velocity vector is along

    A
    the tangent to the circular path
    B
    the inward radius
    C
    the outward radius
    D
    the axis of rotation
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