# 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...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

#### Learn more about this topic:

Heisenberg Uncertainty Principle: Definition & Equation

from Chemistry: High School

Chapter 5 / Lesson 11
31K