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Motion in a Straight Line — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsMotion in a Straight Line1 Mark
MCQ
Mark the correct statements:
  • ✓
    The magnitude of the velocity of a particle is equal to its speed.
  • B
    The magnitude of average velocity in an interval is equal to its average speed in that interval
  • C
    It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero.
  • D
    It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero.
✓

Answer

Correct option: A.
The magnitude of the velocity of a particle is equal to its speed.
$a.$ The magnitude of the velocity of a particle is equal to its speed.
Explanation:
$a.$ Velocity being a vector quantity has magnitude as well as direction, and magnitude of velocity is called speed.
$b.$ Average velocity $=\frac{\text{Total displacement}}{\text{Total time taken}}$
Average speed $=\frac{\text{Total distance travelled}}{\text{Total time taken}}$
$\text{Distance}\geq\text{Displacement}$
$\therefore\text{Average speed}\geq\text{Average velocity}$
The magnitude of average velocity in an interval is not always equal to its average speed in that interval.
$c.$ If speed is always zero, then the distance travelled is always zero. Hence, the total distance travelled and the average speed will be zero.
$d.$ If the speed of a particle is never zero, the distance travelled by the particle is never zero. Hence, the average speed will not be zero.

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