- #1

ChrisVer

Gold Member

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## Homework Statement

You want to measure the momentum of muons with the help of a proportional chamber, that is a chamber

that applies an electric ﬁeld inside its cavity and produces a signal current when a charged particle passes

through it. The probability of generation such a signal for a single chamber is 97%. For a momentum

measurement you need to measure the position of a muon in at least three points inside the detector, i.e.

three proportional chambers provide a signal. What is the minimum number of chambers required to provide

a momentum measurement for at least 99% of muons that pass through your detector?

## Homework Equations

## The Attempt at a Solution

The probability of a signal of a muon per chamber is: [itex] p = 0.97 \times \frac{1}{3} = 0.323[/itex].

My problem however is that I don't know the number of the muons... Any feedback of what method I could use? I thought about using a Gaussian and integrating it from [itex]0.99N[/itex] to [itex]N[/itex] ([itex]N[/itex] is the total number of muons passing through and an unknown parameter).