Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
bartleby

Concept explainers

Question
Book Icon
Chapter 28, Problem 55GP
To determine

The lifetime of the excited state that produced this line.

Expert Solution & Answer
Check Mark

Answer to Problem 55GP

  6.3×10-14s

Explanation of Solution

Given info:

Wavelengths, λ1=487nm=487×10-9m and λ2=489nm=489×10-9m

Formula used:

The energy of a photon is E = hcλ

  λ is wavelength.

  h is Planck’s constant, 6.63×1034Js

  c is speed of light, 3.0×108m/s

  E is energy.

Calculation:

First calculate the difference in measured energies:

  ΔE=E2- E1

  =hcλ2-hcλ1...(1)

Substitute all the values in equation (1)

  =(6.63×10-34Js)(3.00×108m/s)(1489×10-9m-1487×10-9m)

  =1.67×10-21J (neglect the negative sign)

Now calculate the lifetime of the excited state by ΔEΔt

  (1.67×1021J)Δ1.055×10-34Js

  Δt=6.3×10-14s

Conclusion:

The lifetime of the excited state that produced this line is 6.3×10-14s .

Chapter 28 Solutions

Physics: Principles with Applications

Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON