2 Useful Constants1.055 x 10-346.626 x 10-349.109 x 10-3I1.602 x 10-T98.854 x 10-12 CJ-'m-TJsh.Jskg€0Problem 1Given that L= nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to beL2Va(r) =2mr2construct an expression that describes the energy of the nth level and show that the difference between any two energy levels(ni, ng for initial and final) is given by1AE = R1withR =32m²c3n² °Plug in the constants given in the table above to show that R is indeed equal to the expected Rydberg constant. Hint: followthe derivation in the notes for the radius of the circular orbit first, and then use the radius to get the energy levels.

Given data: h = 6.626 x 10-34 Js me = 9.109 x 10-31 kg q = 1.602 x 10-10 C

Useful Constants 1.055 × 10-34 h. Js 6.626 × 10-34 9.109 x 10-31 1.602 x 10-1D 8.854 x 10-12 Js me kg C*Jm- Problem 1 Given that L=nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be

Useful Constants 1.055 × 10-34 h. Js 6.626 × 10-34 9.109 x 10-31 1.602 x 10-1D 8.854 x 10-12 Js me kg C*Jm- Problem 1 Given that L=nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be

Principles of Instrumental Analysis

7th Edition

ISBN:9781305577213

Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Chapter7: Components Of Optical Instruments

Section: Chapter Questions

Problem 7.3QAP: The Wien displacement law states that the wavelength maximum in micrometers for blackbody radiation...

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

Useful Constants
1.055 x 10-34
6.626 x 10-34
9.109 x 10-3I
1.602 x 10-T9
8.854 x 10-12 CJ-'m-T
Js
h.
Js
kg
€0
Problem 1
Given that L= nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be
L2
Va(r) =
2mr2
construct an expression that describes the energy of the nth level and show that the difference between any two energy levels
(ni, ng for initial and final) is given by
1
AE = R
1
with
R =
32m²c3n² °
Plug in the constants given in the table above to show that R is indeed equal to the expected Rydberg constant. Hint: follow
the derivation in the notes for the radius of the circular orbit first, and then use the radius to get the energy levels.

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