Relativistic Particle Decay: Strong, EM, Weak, or Gravitational Interactions?

[humanist rho]

Homework Statement

A relativistic particle travels a length of 3*10^-3 m before decaying.The decay process of this particle is dominated by...

(a)Strong interactions
(b)EM interactions
(c)weak interactions
(d)gravitational interactions.

Homework Equations

The Attempt at a Solution

Since the question says the particle is relativistic, i took its velocity = c
then,
t = x/v = 10^-11
which is the timescale for weak interactions.

But the text says the answer is strong interaction.
Then wheres the mistake?

 

[vela]

Did you take into account time dilation?

 

[humanist rho]

How can i apply time dilation when velocity is not given?

 

[vela]

Good question. Depending on how close to the speed of light the particle travels at, the 10^-11 seconds in the lab frame could correspond to an arbitrarily short time interval in the particle's rest frame. I think you need more information to solve the problem.