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On an open ground, a motorist follows a ...

On an open ground, a motorist follows a track that turns to his left by an angle of `60^(@)` after every `500 m`. Starting from a given turn, The path followed by the motorist is a regular hexagon with side `500 m`, as shown in the given figure specify the displacement of the motorist at the end of third turn

.

A

500 m

B

`500sqrt(3)` m

C

1000 m

D

`1000sqrt(3)` m

Text Solution

Verified by Experts

The correct Answer is:
C
The path followed by the motorist is a angular hexagon ABCDEF of side length 500 m as shown in the figure. Let the motorist starts from A and takes the third turn at D.

Therefore, the magnitude of this displacement is `AD = AG + GD = 500 m + 500 m = 1000 m`
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