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Problem 36 Medium Difficulty

An electron is located on a pinpoint having a diameter of 2.5$\mu \mathrm{m}$ . What is the minimum uncertainty in the speed of the electron?

Answer

23 \mathrm{m} / \mathrm{s}

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Aspen F.

University of Sheffield

Video Transcript

Okay, so we know one electron is within its looking at a pinpoint, so we know it's within a space of 2.5 micrometers. So we can say Delta Axe is 2.5 times 10 to the minus six meters, and I'm gonna get the minimums are doing the speed. So we want to use Delta X crew time sell to pee as equal, greater than or equal to each over for pie. And, um, P is equal to M. V. So you have Delta bi daughter acts is greater than or equal to age over for pie. And you want to get a belt to be so adult, it'd be is, um, just algebraic Lee manipulating greater than or equal to age over for pie times one over, um, Delta X So great Iowa God and a value a thon for Toto. Access to 0.5 times seven Minus sechs. Yeah, and backers you 23 point two meters for a second. How many sick picture I have? I'll just used to, um because there's only two, given the problem. Great. 23 minutes

University of Washington
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Aspen F.

University of Sheffield