A blind person after walking 10 steps in one direction each of length 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

Question

A blind person after walking 10 steps in one direction each of length 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, Zero, 8 2 m, 16 2 m, 32 m

MARKS App · Accepted Answer

This person cannot walk straight more than 10 steps. Distance covered in 10 steps = 10 × 0.8 = 8 m As the person has to turn after every 10 steps, the only way to have maximum displacement is walk as shown in the figure. The maximum displacement = A E = A C + C E = 8 2 + 8 2 = 16 2 m

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