- #1

- 17

- 0

## Homework Statement

Hi, I'm fairly new to these forums and I'm stuck on a problem. Just wondered if anyone could give me any hints or tips on how to get started on the following question:

An unstable particle produced in a high-energy collision has a mass of m and an uncertainty in mass that is p of the particle's mass. Estimate the liftime of the particle.

## Homework Equations

I am assuming this question has something to do with Heisenbergs Uncertainty Principle. i.e

[tex] \Delta x*\Delta p >= \hbar [/tex] where p is momentum and x is some distance

From the information given I assume I have to use the above formula to get:

[tex] \Delta x*(p/m)*v >= \hbar [/tex] ....? where p/m is the uncertainty in the mass described in the question

## The Attempt at a Solution

As I said at the begining I don't really know how to get started on this question, and thus the derived relationship above is all I have managed to come up with thus far. I am begining to think that this question requires me to calculate the energy of the particle by calculating the minimum uncertainty on the momentum (i.e (p/m)*V). If the equation that I have formulated so far is correct, what am I supposed to use for delta x? From the information given I cannot see any way to deduce this. Any indication on whether im on the right lines here or any other help would be very much appreciated. Thanks in advance, Kam.

Last edited: