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Question: A man starts from O moves 500 m turns by 60<sup>o</sup> and moves 500 m again turns by 60<sup>o</sup...

A man starts from O moves 500 m turns by 60o and moves 500 m again turns by 60oand moves 500 m and so on. Find the displacement after (i) 5th turn, (ii) 3rd turn

A

500m, 1000 m

B

500 m, 500√3 m

C

1000 m, 500√3 m

D

None of these

Answer

500m, 1000 m

Explanation

Solution

A regular hexagon will be formed it we continue.

After 5th turn displacement = OE = 500 m

After 3rd turn displacement = OC = 1000 m (OC is diameter

of the circle circumscribing regular hexagon).