You want to make simultaneous measurements of the position and velocity of an electron that is moving in the positive-x direction.If the velocity is measured to an accuracy of 10^-7 m/s,the limit of accuracy with which you can locate the electron is approximately A)zero B)6.6 $\times$ 10^-27 m C)4.0 m D)7.3 km E)4.0 mm

Question

Quizplus · Accepted Answer

According to Heisenberg's uncertainty principle, the product of the uncertainties in position and velocity is inversely proportional to the mass of the particle. For an electron, this results in a significant uncertainty in position when the velocity is measured with high precision. Given the velocity accuracy, the position uncertainty is approximately 4.0 mm.

You Want to Make Simultaneous Measurements of the Position and Velocity