Question

For a quantum particle like the electron - both its velocity and position could be measured simultaneously and with very good precision.

• A. True
• B. False

Answer 1

The correct option is B

False

We cannot locate the electron and find out the speed of an electron simultaneously. Why??

$\to$ Heisenberg uncertainty Principle states that it is impossible to determine simultaneously, the exact position and exact momentum (or velocity) of an electron.

$\Delta p$ $\times$ $\Delta x$ $\ge$ $\frac{h}{4\pi }$

or $\Delta v$ $\times$ $\Delta x$ $\ge$ $\frac{h}{4\pi m}$

$\to$ If the position of the electron is known with high degree of accuracy (∆x is small), then the velocity of electron will be uncertain [∆(v_x) is large] and vice versa.