Electron achievable resolution?

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SUMMARY

The discussion focuses on measuring the speed of an electron confined within a spherical region of diameter 1.5 nm. The achievable resolutions for the measurement are evaluated using the uncertainty principle, specifically the relation Δx * Δp < ħ. The correct answer identifying the non-achievable resolution is option A, which is ±9.7 * 10^3 ms^-1. The uncertainty principle is crucial for determining the limits of measurement accuracy in quantum mechanics.

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Electron...achievable resolution?

Homework Statement


An electron is confined inside a sphericial region of diametre 1.5nm.The speed of the electron is measured. Which of the following is not an achieveable resolution for the measurement?

A +/- 9.7*10^3 ms^-1

B +/- 3.86*10^4ms^-1

C +/- 7.72*10^4ms^-1

D +/- 1.21*10^5ms^-1

E +/- 1.54*10^5ms^-1


ANSWER = A


Homework Equations



Im not sure really, since I don't know how to attempt this question, I think either the debroglie wavelength or uncertainity principle, but to be honest,I don't really know what to use.

The Attempt at a Solution


I don't have a clue, would someone be able to at least start me in the right direction, thankyou.
 
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use the uncertainty principle delta(x)*delta(p)<h bar. You have delta(x) which is the width, so find delta(p) and delta(p)= mass * delta(velocity) => possible resolution.
 

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