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Question

A particle is continously moving on a circular path. Which of the following could be the distance and displacement of the particle between a point and its diagonally opposite point?


A

Half of the circumference of the circle and its diameter respectively

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B

The circumference of the circle and its diameter respectively

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C

The circumference of the circle and its radius respectively

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D

Three halves of the circumference of the circle and its diameter respectively

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Solution

The correct options are
A

Half of the circumference of the circle and its diameter respectively


D

Three halves of the circumference of the circle and its diameter respectively


Suppose, the particle moves along the path ACDB. Then, the distance covered is equal to ACDB, which is the half of the circumference of the circle. But, the displacement is the shortest path between the starting point and end point. So, the displacement will be equal to the diameter of the circle.

Since the particle is moving continuously, it reaches point "B" after another revolution. In this case, the displacement is the same but the distance is three halves of the circumference of the circle.


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