A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or right by 9 0 ∘ . After walking a total of 40 steps, the maximum displacement of the person f

Question

A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or right by 9 0 ∘ . After walking a total of 40 steps, the maximum displacement of the person from the starting point can be:

TestHub · Accepted Answer

With only 9 0 ∘ turns, all steps lie along two perpendicular axes. Displacement is greatest when the 40 steps split evenly: 20 steps along each axis, 20 × 0.8 = 16 m on each, giving 16 2 ​ m. Option B.

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