Question

State Heisenberg's uncertainty principle.

Answer 1

Heisenberg's uncertainty principle

1. This principle is based on the wave-particle duality of matter.
2. It states that it is impossible to measure or calculate exactly both the position and momentum of an object.
3. If $∆\mathrm{x}$ is the error in position measurement and $∆\mathrm{p}$ is the error in the measurement of momentum, then $∆\mathrm{x}\times ∆\mathrm{p}\ge \frac{\mathrm{h}}{4\mathrm{\pi }}$
4. The more precise our measurement of momentum is, the less accurate will our momentum measurement and vice-versa.

Therefore, Heisenberg's uncertainty principle states that it is impossible to determine simultaneously the position and momentum of an object.