The mass of an electron is 9.11 * 10-31 kg. What is the uncertainty in the position of an electron moving at 2.00 * 106 m/s with an uncertainty of Δv = 0.01 * 106 m/s?

Given The mass of an electron is 9.11 * 10-31 kg

position of an electron moving at 2.00 * 106 m/s with an uncertainty of Δv = 0.01 * 106 m/s

Therefore, in our case we know the value for Δv but want to calculate Δx. Let's change the equation to an equality

Δx = h/Δp

Since we know momentum p = mv then

Δx = 6.626 * 10^-34 / m * Δv

Δx = 6.626 * 10^-34 / 9.109 * 10-31 * 1.00 * 10^4

Δx = 7.274 * 10^-8 m