Question

A body is moving along the circumference of a circle of radius $R$ and completes half of the revolution. Then, the ratio of its displacement to distance is:

• A. $\pi :2$
• B. $2:1$
• C. $2:\pi$
• D. $1:2$

Answer 1

The correct option is C $2:\pi$

Displacement is the minimum distance between the start and end point. Hence, the displacement in this case will be the diameter of the circle, i.e., $2R$.

Distance is the length of path covered by the particle/object. Here, the distance will be $\pi R$.

Therefore, the ratio of displacement to distance is $2:\pi$