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Suppose you have a device that can measure the speed of a proton to within 3.20*10^{-8} m/s. What...

Question:

Suppose you have a device that can measure the speed of a proton to within 3.20*10{eq}^{-8} {/eq} m/s. What is the resulting uncertainty in meters for the position of that proton?

Uncertainty in position:

According to the Heisenberg Uncertainty Principle;

{eq}\Delta p\space .\space \Delta x \geq \space \dfrac{h}{4\pi} {/eq}

where;

  • {eq}\Delta p {/eq} = Uncertainty in momentum.
  • {eq}\Delta x {/eq} = Uncertainty in position.
  • h = Plank's constant.

Answer and Explanation:

Given:

  • {eq}h =\space 6.626\times 10^{-34}\space Kg\space m^{2}s^{-1} {/eq}
  • Mass of proton = {eq}m=\space 1.67\times 10^{-27}\space kg. {/eq}
  • {eq}\D...

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Heisenberg Uncertainty Principle: Definition & Equation

from Chemistry: High School

Chapter 5 / Lesson 11
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