Question

# A particle is moving in a circular path of radius r, its displacement after half a circle would be

A

2r

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B

πr

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C

2πr

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D

0

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Solution

## The correct option is A 2rThe movement of a body following a circular path is called a circular motion.The shortest distance measured between the starting and the ending points is known as displacement.The displacement may be easily estimated once the particle has covered half of the circle by measuring the shortest possible distance between the beginning and final points.After half-circle displacement, the shortest path is along with line $\overline{AB}$. i.e. the diameter of the circle. Therefore, the displacement after completing a half-circle is $2r$ where $r$ is the radius of the circle.So, the correct option is (a) $2r$

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