Q.

Six particles situated at the corners of a regular hexagon of side d move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. The time of the particles will take to meet each other.

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a

2d/3v

b

2d/v

c

3d/2v

d

4d/3v

answer is B.

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Detailed Solution

The particles will meet at the centre of the hexagon whose distance from point A id d. Therefore t =Displacement of any particle v cos 600  ⇒t=dv/2=2dv
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Six particles situated at the corners of a regular hexagon of side d move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. The time of the particles will take to meet each other.