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Q.

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

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a

$\frac{2 a}{\sqrt{3} v}$

b

$\frac{a}{2 v}$

c

$\frac{2 a}{v}$

d

$\frac{\sqrt{3} a}{2 v}$

answer is A.

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Detailed Solution

Particles meet at centre of hexagon

$t = \frac{a}{v \cos 60^{0}} = \frac{2 a}{v}$

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