What is the uncertainty in determining the momentum of an electron if the speed of the electron is 6000 m/s within an accuracy of 0.004%? A) 1.09 × 10^-31 kg∙m/s B) 1.31 × 10^-31 kg∙m/s C) 2.19 × 10^-31 kg∙m/s D) 3.21 × 10^-31 kg∙m/s E) 4.38 × 10^-31 kg∙m/s

Question

Quizplus · Accepted Answer

The uncertainty in momentum can be found using the formula:

Δp = mΔv

where Δv is the uncertainty in velocity and m is the mass of the electron.

Δv can be found by multiplying the speed of the electron by its accuracy:

Δv = (6000 m/s) x (0.00004) = 0.24 m/s

The mass of an electron is approximately 9.11 x 10^-31 kg.

Δp = (9.11 x 10^-31 kg) x (0.24 m/s) = 2.19 x 10^-31 kg∙m/s

Therefore, the uncertainty in determining the momentum of an electron with a speed of 6000 m/s within an accuracy of 0.004% is 2.19 x 10^-31 kg∙m/s.

The correct answer is C.

What Is the Uncertainty in Determining the Momentum of an Electron