Learning Materials
Features
Discover
Chapter 38: Q. 20 (page 1114)
20.What is the quantum number of an electron confined in a 3.0-nm-long one-dimensional box if the electron's de Broglie wavelength is ?
The Quantum number of the electron is
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
What is the length of a one-dimensional box in which an electron in the state has the same energy as a photon with a wavelength of ?
Starting from Equation 38.32, derive Equation 38.33
The electron interference pattern of Figure 38.12 was made by shooting electrons with of kinetic energy through two slits spaced role="math" localid="1650737433408" apart. The fringes were recorded on a detector behind the slits.
a. What was the speed of the electrons? (The speed is large enough to justify using relativity, but for simplicity do this as a nonrelativistic calculation.)
b. Figure 38.12 is greatly magnified. What was the actual spacing on the detector between adjacent bright fringes?
How many photoelectrons are ejected per second in the experiment represented by the graph of FIGURE EX38.2?
Draw an energy-level diagram, similar to Figure 38.21, for the ion. On your diagram:
a. Show the first five energy levels. Label each with the values of n and
b. Show the ionization limit.
c. Show all possible emission transitions from the n = 4 energy level.
d. Calculate the wavelengths (in nm) for each of the transitions in part c and show them alongside the appropriate arrow.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App