A blind person after walking 10 steps in one direction, each oflength 80 cm, turns randomly to the left or to right by `90^(@)`. After walking a total of 40 steps,the maximum displacement of the person from its starting point can be :

Options

A. 320 m
B. 32 m
C. `16//sqrt(2)` m
D. `16 sqrt(2)` m

Answer

4

Explanation

Maximum possible displacement is only when he will truns, left & right alternatively. According to the path diagram ,

The displacement `AC=sqrt(AB^(2)+BC^(2))`
`=sqrt((16)^(2)+(16)^(2))`
`=16sqrt(2)m`