Q.State Heisenberg's Uncertainty Principle.

At the microscopic (atomic) scale, a particle's position and momentum cannot both be measured with unlimited precision at the same time - the product of their uncertainties has a fundamental lower limit.

Statement

Heisenberg's Uncertainty Principle states that it is fundamentally impossible to measure, simultaneously and with arbitrary accuracy, both the position and the momentum of a microscopic particle (such as an electron). If $\Delta x$ is the uncertainty (error) in determining the position and $\Delta p$ is the uncertainty in determining the momentum, then their product cannot be made smaller than a fixed value:

$\Delta x \cdot \Delta p \geq \frac{h}{4\pi}$

where $h$ is Planck's constant. (Equivalently, using $\hbar = h/2\pi$, this is often written as $\Delta x \cdot \Delta p \geq \hbar/2$.)

What it means …