|Class 12 Physics Dual Nature Radiation Matter||Heisenbergs Uncertainty Principle|
(Δx)(Δp) ≥ h/(2π)
Considering the above equation, 2 cases are possible:
λ = h/p
It means that the wavelength has a fixed value and the wave is extended infinitely throughout the wave. Hence, it is impossible to find the position of the wave.
Mathematically, if p = fixed , Then, Δp→0, Δx→∞
A localized wave is shown below:
As we can see in the diagram, the wavelength (λ) is not fixed, so the momentum (p) is also not fixed.
Hence, there is uncertainty in both, momentum (p) and position (x).