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  • Six particles situated at the corners of a regular hexagon of side ' ' move at constant speed <img alt="v" src="https

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

Option: 1

2a/3v


Option: 2

2a/v


Option: 3

4a/v


Option: 4

a/v


Answers (1)

best_answer

Particles will meet at the centre of the hexgon. But we can use a trick that particles will approach to other particle with a relative velocity.
$$ \begin{aligned} v & =v-v \cos 60^{\circ} \\ & =v-v / 2=v / 2 \end{aligned}                     
The distance to be moved =a
\therefore Required time t=\frac{a}{v / 2}=\frac{2 a}{v}             

Posted by

Deependra Verma

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