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Problem 39 Medium Difficulty

The average lifetime of a muon is about 2 \mus. Estimate the minimum uncertainty in the energy of a muon.

Answer

3 \times 10^{-29} J

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Top Physics 103 Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Video Transcript

Hey, Silver, this problem. We know that the average lifetime is two microseconds. We want to get the uncertainty in the energy, so we want to use the other uncertainty your relationship given in the chapter. Adultery E. That's a T, um, for a minimum. Will set unequal to age over for pie and were given Delta T So Delta E is equal to age over a Delta t times for pie. So go ahead. I got into a calculator. One over. Tell tha t iss two microseconds. So that's two times 10 to the minus six. Um, about I got two point six. How many six eggs. See? Just one. So that would be three times 10 to the minus 29 jaws. And then I'll just write it down the given, which I usually do in the beginning. Delta T is he quoted to, um times 10 to the minus six. Oops. Not microseconds. Just plain old seconds

University of Washington
Top Physics 103 Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg