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Three particles A, B and Care situated a...

Three particles A, B and Care situated at the vertices of an equilateral triangle of side /. Each of the partic starts moving with a constant velocity vsuch that A is always directed towards B, B3 towards Cand C toward A. Find the time when they meet.

A

`(l)/(sqrt(3)v)`

B

`(2l)/(v)`

C

`(2l)/(3v)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Relative velocity of approach
Distance between A and B =l
`t=(l)/(v_(A)-v_(B)cos 120)=(l)/(v+(v)/(2))=(l)/(3v)/(2)=(2l)/(3v)`
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