n' number of particles are located at the verticles of a regular polygon of n sides having the edge length 'a'. They all start moving simultaneously with equal constant speed 'v' heading towards each other all the time. How long will the particles take to collide?

Answer

`(a)/(v(1-"cos"(2pi)/n))`

Explanation

Relative velocity of A w.r.t. to B,
`V_(AB)` time`=a/(v-v cos theta)=a/(v(1-cos theta)) theta=(2pi)/n`