The path of particle is shown in figure. The ratio of distance travelled and magnitude of displacement is :

EF=AB=2m
FG =BC =2m
CD=DE =1m

Options

A. `(5sqrt(3))/(3)`
B. 1
C. `(5)/(3)`
D. None of these

Answer

A

Explanation

Total displacement along x-direction from A to G
`implies " "3m`
y displacement A to G implies 3m
Total displacement `implies sqrt((3)^(2)+(3)^(2))=3sqrt(2)m`
Distance travelled implies 10m
`(10)/(3sqrt(2))implies(5sqrt(2))/(3)`