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Assertion : A wheel moving down a perfec...

Assertion : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion)
Reason : For perfect rolling motion, work done Reason against friction is zero.

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To solve the given assertion and reason question, we need to analyze both statements carefully. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that a wheel moving down a perfectly frictionless inclined plane will undergo slipping rather than rolling. - In a frictionless scenario, there is no frictional force to provide the necessary torque for rolling. - Therefore, the wheel will slide down the incline without rolling. 2. **Understanding the Reason**: The reason provided states that for perfect rolling motion, the work done against friction is zero. - In perfect rolling motion, the point of contact between the wheel and the surface does not slip, meaning that the wheel rolls without losing contact. - However, in the case of a frictionless surface, there is no friction to do work against, which means the wheel cannot roll. 3. **Evaluating the Relationship**: - The assertion is true because a wheel on a frictionless incline cannot roll; it will slip down the incline. - The reason is also true, but it does not directly support the assertion. The reason explains a condition for rolling motion but does not explain why the wheel slips on a frictionless incline. 4. **Conclusion**: - Since both the assertion and the reason are true, but the reason does not correctly explain the assertion, the correct answer is that the assertion is true, and the reason is true but does not support the assertion. ### Final Answer: - Assertion: True - Reason: True (but does not support the assertion)

To solve the given assertion and reason question, we need to analyze both statements carefully. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that a wheel moving down a perfectly frictionless inclined plane will undergo slipping rather than rolling. - In a frictionless scenario, there is no frictional force to provide the necessary torque for rolling. - Therefore, the wheel will slide down the incline without rolling. ...
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A ball moves on a frictionless inclined table without slipping. The work done by the surface on the ball is :

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Knowledge Check

  • Assertion : The magnitude of the displacement for a course of motion may be zero. Reason : The path length for the corresponding course of motion is zero.

    A
    A. If both assertion and reason are trure and reason is the correct explanation of assertion.
    B
    B. If both assertion and reason are true but reason is not the correct explanations of assertion.
    C
    C. If assertion is true but reason is false.
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    D. If both assertion and reason is false
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    These questions consists of two statements each printed as Assertion and Reason. While answering these question you are required to choose any one of the following five reponses (a) If both Assertion and Reason arecorrect and Reason is the correct explanation of Asserrtion. (b) If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion. (c ) If Assertion is true but Reason is false. (d) If Assertion is false but Reason is true. Assertion The work done in bringing a body down from the top to the base along a frictionless inclined plane is the same as the work done in bringing it down from the vertical side. Reason The gravitational force on the body along the inclined plane is the same as that along the vertical side.