MCQ
A particle is forced to move on a straight line path. It returns to the starting point after $10$ seconds. The total distance covered by the particle during this time is $20m.$ Which of the following statements is false regarding the motion of the particles?
  • A
    The average velocity of the particle is zero.
  • B
    The displacement of the particle is zero.
  • C
    The average speed of the particle is $2.0\ ms^{-1} ?.$
  • The displacement of the particle is $20m.$

Answer

Correct option: D.
The displacement of the particle is $20m.$
When a particle while moving returns to its initial position after a certain time, then its displacement in that time is zero. Its average velocity $\Big(=\frac{\text{displacement}}{\text{times}}\Big)$ is also zero.
But its Average speed $=\frac{\text{Total distance travelled}}{\text{Time taken}}$
$=\frac{20}{10}$
$=2.0\text{ms}^{-1}$

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