A blind person after walking 10 steps in one direction each of length 80cm turns randomly to the left or to the right by 90°. After walking a total 40 steps the maximum possible displacement of person from his starting position could be

(a) 320 m

(b) 2.32 m

(c)

(d) 16√2 m

Let the blind man starts from origin O and walk in + X direction till A and then take a left turn to move in + Y direction till B

X direction

No. of steps taken = 10

1 step = 80 cm

10 steps = 800 cm

1m = 100 cm

So, 10 steps = 8 m

Hence, x = OA = 8m

y direction

No. of steps taken = 40

1 step = 80 cm

10 steps = 3200 cm

1m = 100 cm

So, 10 steps = 32 m

Hence, y = AB = 32 m

Net Displacement = OB

Hence,