1. We can generalize the Heisenberg Uncertainty principle for position and momentum to include circular motion. If Δs is the uncertainty in arc length and Δp_s is the uncertainty in momentum tangent to the circle, then the circular uncertainty principle is Δp_sΔs > ħ/2.(a) Show that the circular uncertainty principle can be written as ΔLΔθ > ħ/2, where ΔL is the uncertainty in angular momentum and Δθ is the uncertainty in angle.(b) How well can the angular position of the electron be specified in the Bohr atom?

Solution. a). Let us consider that the particle is in the circular motion of radius r and also let…

Answered: (a) Show that the circular uncertainty…

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(a) Show that the circular uncertainty principle can be written as ALAO> h/2, where AL is the uncertainty in angular momentum and AO is the uncertainty in angle. (b) How well can the angular position of the electron be specified in the Bohr atom?