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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

2r


a body covered a distance of x meter along a semi circular pathcalculate  the magnitude of displacement of the body and the ratio of distance to  displa - Physics - TopperLearning.com | 096ir877
  1. The movement of a body following a circular path is called a circular motion.
  2. The shortest distance measured between the starting and the ending points is known as displacement.
  3. 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.
  4. After half-circle displacement, the shortest path is along with line AB¯. i.e. the diameter of the circle.
  5. 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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