A man wants to cross a river of width 400 m and reach the point directly opposite on the other bank in minimum time. The speed of the man while swimming in still water is 3 m/s, the speed of the river current is 4 m/s, and the man can walk along the bank with a speed of 5 m/s. At what angle θ (with respect to the direction of river flow) should the man swim to achieve this?
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Which of the following is not the unit of length :
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