A body covered a distance of `L m` along a curved path of a quarter circle. The ratio of distance to displacements.

Options

A. `(pi)/(2 sqrt(2))`
B. `(2 sqrt(2))/(pi)`
C. `(pi)/(sqrt(2))`
D. `(sqrt(2))/(pi)`

Answer

A

Explanation

Displacement `d_(1) = sqrt(2) r`
Distance from `A` to `B d_(2)=((pi r)/(2))`

`(d_(2))/(d_(1))=((pir)/(2))/(sqrt(2)r)=((pi)/(2 sqrt(2)))`.