Homework Help is Here – Start Your Trial Now!
Science
Chemistry
Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is h λ = my in which h is Planck's constant ( 6.63 x 10-34 J-s), m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength= b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m

Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is h λ = my in which h is Planck's constant ( 6.63 x 10-34 J-s), m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength= b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m

Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section: Chapter Questions
Problem 5.ACP
See similar textbooks
icon
Related questions
Question
Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is λ = h my in which h is Planck's constant ( 6.63 x 10-34 J-s), rences] m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength = b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m
Transcribed Image Text:Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is λ = h my in which h is Planck's constant ( 6.63 x 10-34 J-s), rences] m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength = b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m
Expert Solution
Step 1

Here, we have to calculate the de Broglie wavelength for:

a. an electron moving at 0.91 times the speed of light

b. a 140 g ball moving at a speed of 10 m/s

c. a 66 kg person walking at a speed of 6.0 km/h.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Quantum Mechanical Model of Atom
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry: The Molecular Science
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781133949640
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
General Chemistry - Standalone book (MindTap Cour…
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning
Chemistry: Principles and Practice
Chemistry: Principles and Practice
Chemistry
ISBN:
9780534420123
Author:
Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:
Cengage Learning
Chemistry for Engineering Students
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS