Moderate

A particle is moving in a circle of radius 'r'. In one period of revolution, its displacement and distance covered are:

Correct answer: D. Zero, 2πr

  • A. 2πr, 2πr
  • B. π, 2πr
  • C. 2π, 2πr
  • D. Zero, 2πr

Explanation

The correct answer is option D: Zero, 2πr. The particle's displacement is zero, and the distance covered is 2πr during one period of revolution. During one period of revolution, the particle starts and ends at the same position (initial position). As a result, its displacement is zero. However, the particle covers the entire circumference of the circle during one revolution, which is 2πr (the distance covered).

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About Displacement and Velocity

Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.

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