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Question

The distance and displacement covered respectively by a particle after half a revolution of circular path of radius r are

A
πr,r
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B
2πr,2r
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C
2r,πr
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D
πr,2r
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Solution

The correct option is D πr,2r
Let a particle starts from point A and reaches to point B of a circular path of radius r as shown in the figure.


So, distance is the total path length covered, which is arc length AB, thus, distance is
2πr2=πr
And the displacement will be the length AB i.e diameter of the circular path. Hence, displacement is 2r

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