Quantum mechanics minimum uncertainty

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Homework Help Overview

The discussion revolves around a quantum mechanics problem related to the minimum uncertainty in the velocity of an oxygen molecule trapped in alveoli, with specific parameters provided for the molecule and the size of the sac.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Heisenberg's uncertainty principle and the relevant equation. Questions arise regarding the substitution of units into the equation and the interpretation of variables.

Discussion Status

Some participants have provided equations and guidance on how to approach the problem, while others are seeking clarification on unit conversions and the implications of the uncertainty principle. Multiple interpretations of the problem are being explored.

Contextual Notes

There is an emphasis on using appropriate units (meters, kilograms, seconds) for the calculations, and participants are noting the need to ensure correct substitutions in the context of the uncertainty principle.

jalen
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URGENT! quantum mechanics question

Homework Statement



In the lungs there are tiny sacs of air, which are called alveoli. The average diameter of one of these sacs is 0.25nm. Consider an oxygen molecule(mass=5.3x10^-26kg) trapped with a sac. What is the minimum uncertainty in the velocity of this oxygen molecule?

Homework Equations



I'm not sure what equation I should use...then I'll post what the possible answer is

The Attempt at a Solution

 
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I'm reading a similar section in my physics textbook, and I came across an equation ... in the section for Heisenberg's uncertainty principle.

[tex]\Delta x \Delta p \geq \frac{h}{2\pi}[/tex], where h is Planck's constant.

Hope that helps?
 
Hey LHC, thanks for the quick reply :)

I know that nm=r and kg=m but how would I sub it into the equation you mentioned?
 
x--> uncertainty in particle's position...
p--> uncertainty in particle's momentum...
 
So the equation will tell you the uncertainty in the momentum. Find that.

p.s. and watch the units ... use meters, kg, & sec for everything.
 

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