Estimate the uncertainty in electron's position.

[Steelers72]

1. Question
The speed of an electron is known to be between 6.0×10^6 m/s and 6.7×10^6 m/s . Estimate the uncertainty in its position.

Homework Equations

ΔpΔx ≥ h/2π
(mΔv) Δx ≥ h/2π (Since Δp= mΔv)

Δx≥ h/2π(mΔv)

h= 6.63*10^-34 J*s
c= 3.0*10⁸
mass of electron= 9.11*10^-31

The Attempt at a Solution

(6.63*10^-34)/(2pi(9.11*10^-31)*(6.7*10^6 - (6*10^6))
= 0.00000000016546 m

Apparently this is incorrect. What am I doing wrong?

 

[blue_leaf77]

The range of velocities in that picture is different from the one in your problem.

 

[Steelers72]

The range of velocities in that picture is different from the one in your problem.

I am aware, that is why I wrote my work in the 3rd step of the post. I used my own velocity range.

 

[blue_leaf77]

Apparently this is incorrect.

Why is it not correct? Using your own velocities, I also got the same value. Do I miss something about what you actually want to figure out?

 

[Steelers72]

Why is it not correct? Using your own velocities, I also got the same value. Do I miss something about what you actually want to figure out?

I'm not sure. My answer was marked incorrect which is strange. I understand the problem and how to do it. I figured maybe my work was wrong or a small error?