A man can swim at a speed of `3 km h^-1` in still water. He wants to cross a `500-m` wide river flowing at `2 km h^-1`. He keeps himself always at an angle to `120^@` with the river flow while swimming. The drift of the man along the direction of flow, when he arrives at the opposite bank is.A. `(1)/(6 sqrt(3)) km`B. ` 6 sqrt(3) cm`C. `3 sqrt(3) km`D. `(1)/(3 sqrt(3)) km`

A man can swim at a speed of `3 km h^-1` in still water. He wants to c

1.	A man can swim at a speed of `3 km h^-1` in still water. He wants to cross a `500-m` wide river flowing at `2 km h^-1`. He keeps himself always at an angle to `120^@` with the river flow while swimming. The drift of the man along the direction of flow, when he arrives at the opposite bank is.A. `(1)/(6 sqrt(3)) km`B. ` 6 sqrt(3) cm`C. `3 sqrt(3) km`D. `(1)/(3 sqrt(3)) km`
Answer» Correct Answer - A (a) `t = (d)/( v sin theta) =(0.5 km)/(3 sin 120^@ km h^-1)=(1)/(3 sqrt(3)) h` `x = (u + v cos theta) t = (2 + 3 cos 120^@)(1)/(3 sqrt(3)) = (1)/(6 sqrt(3))`.

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