Q 11-03-061JEE MainJEE Main 2024 (4 Apr, Shift 2)Easy
A cyclist starts from the point $P$ of a circular ground of radius $2\ \text{km}$ and travels along its circumference to the point $S$ as shown. The displacement of the cyclist is
Answer: (A) $\sqrt8\ \text{km}$
Displacement depends only on the start and end points. $P$ and $S$ are at right angles as seen from the centre:
$$|PS| = \sqrt{r^2 + r^2} = r\sqrt2 = 2\sqrt2 = \sqrt8\ \text{km}$$
Solution by Sreeraj P, M.Sc Physics