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 ${90}^0$. After walking a total of 40 steps, the maximum displacement of the person from its standing point can be:

• A. 30 m
• B. $16\sqrt{2}$ m
• C. $8\sqrt{2}$ m
• D. 32 m

Answer 1

Answer: (B)

$16\sqrt{2}$ m

$10Steps$ are equivalent of $800cm=8m$

the displacement will be maximum if he takes $consecutive$ left right or $right-left$ that is his last point is $not$ on the

same line he traveled during $first$ 10 steps .

As shown in the figure the displacement us $AO+OB=\sqrt{8^2+8^2}+\sqrt{8^2+8^2}=16\sqrt{2}meter$