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Question

A body is moving along the circumference of a circle of radius $$R$$ and completes half of the revolution. Then, the ratio of its displacement to distance is:


A
π:2
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B
2:1
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C
2:π
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D
1:2
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Solution

The correct option is C $$2:\pi $$
Displacement is the minimum distance between the start and end point. Hence, the displacement in this case will be the diameter of the circle, i.e., $$2R$$.
Distance is the length of path covered by the particle/object. Here, the distance will be $$\pi R$$.
Therefore, the ratio of displacement to distance is $$2: \pi$$

Physics

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