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Assertion : The total displacement moved...

Assertion : The total displacement moved by a point located on the periphery of a wheel of radius R in one revolution is 2`pi`R. Wheel is rolling.
Reason : In rolling motion of a wheel, every point on its periphery comes in contact with the surface once in one revolution.

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To solve the 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 total displacement moved by a point located on the periphery of a wheel of radius \( R \) in one revolution is \( 2\pi R \). - In one complete revolution, a point on the circumference of the wheel travels a distance equal to the circumference of the circle, which is given by the formula: \[ \text{Circumference} = 2\pi R \] - Therefore, the assertion is true. 2. **Understanding the Reason**: The reason states that in the rolling motion of a wheel, every point on its periphery comes in contact with the surface once in one revolution. - When a wheel rolls without slipping, each point on the periphery makes contact with the ground exactly once during one complete revolution. This means that every point on the circumference travels the same distance as the wheel rolls. - Thus, the reason is also true. 3. **Connecting Assertion and Reason**: - The assertion and reason are related. The reason explains why the assertion is true: because every point on the wheel's periphery comes into contact with the surface once in one revolution, it ensures that the total distance traveled by a point on the periphery is indeed \( 2\pi R \). 4. **Conclusion**: - Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, we conclude that both statements are true. ### Final Answer: - **Assertion**: True - **Reason**: True - **Explanation**: The reason correctly explains the assertion. ---
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