(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?
(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?
Related questions
Question
Transcribed Image Text: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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
