question_answer

A body covered a distance of l metre along a semicircular path. Calculate the magnitude of displacement of the body and the ratio of distance to displacement.

Answer:

                        Let r be the radius of semicircular path. Here, \[l=\left( \text{2}\pi \text{ r}/\text{2} \right)\] or     \[\text{r}=\text{l}/\pi \]. Diameter =\[\text{2r}=\text{2}\,\text{l}/\pi \]; Magnitude of displacement = diameter \[=\text{2}\,\text{l}/\pi \] \[\frac{Dis\tan ce}{Displacement}=\frac{l}{2l/\pi }=\frac{\pi }{2}\]