1175_Physics ProblemsTechnical Physics

1175_Physics ProblemsTechnical Physics - 516 Q42.6 Atomic...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
516 Atomic Physics Q42.6 From Equations 42.7, 42.8 and 42.9, we have −= = + =+ E ke r r r KU ee e e 22 2 . Then KE = and UE e =− 2. Q42.7 Bohr modeled the electron as moving in a perfect circle, with zero uncertainity in its radial coordinate. Then its radial velocity is always zero with zero uncertainty. Bohr’s theory violates the uncertainty principle by making the uncertainty product ∆∆ rp r be zero, less than the minimum allowable = 2 . Q42.8 Fundamentally, three quantum numbers describe an orbital wave function because we live in three- dimensional space. They arise mathematically from boundary conditions on the wave function, expressed as a product of a function of r , a function of θ , and a function of φ . Q42.9 Bohr’s theory pictures the electron as moving in a flat circle like a classical particle described by Fm a = . Schrödinger’s theory pictures the electron as a cloud of probability amplitude in the three-dimensional space around the hydrogen nucleus, with its motion described by a wave equation. In the Bohr model, the ground-state angular momentum is 1
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online