Question

A paeticle is moving along a circle such that it completes one revolution in $40$ seconds. In $2$ minutes , the ratio $\frac{|displacement|}{distance}$ is

• A. $0$
• B. $\frac{1}{7}$
• C. $\frac{2}{7}$
• D. $\frac{1}{11}$

Answer 1

The correct option is A $0$

Displacement is defined as the shortest distance between the initial and final position of the particle.

Particle completes one revolution in $40seconds$.
In $2minutes=120seconds$, it will cover $\frac{120}{40}=3revolutions$

Thus, the particle will be back at it's initial position after 2 minutes.
Thus, $|displacement|=0$
$\therefore \frac{|displacement|}{distance}=0$

Hence, the correct answer is OPTION A.