Which region of the electromagnetic spectrum are each of these wavelengths near? A. Ultraviolet 10-8 to 107 meters В. Х-гау 1011 to 10-8 meters C. Gamma ray 10-16 to 10-11 meters D. Smaller than 1020 meters. Cannot detect wave-like properties. Only particle-like behavior will be observable. Particle Mass (kg) Velocity (m/s) Wavelength (m) Region electron 9.11×10-31 5.81×106 golf ball 4.50x102 31.3 proton 1.67x1027 5.81×106 Retry Entire Group 3 more group attempts remaining Submit Answer Prev

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
icon
Concept explainers
Question
**Understanding the de Broglie Wavelengths of Various Particles**

The problem involves comparing the de Broglie wavelength of an electron moving at \( 1.30 \times 10^7 \) miles per hour (\( 5.81 \times 10^6 \) m/s) to that of a golf ball moving at 70.0 miles per hour (31.3 m/s) and a proton with a speed of \( 1.30 \times 10^7 \) miles per hour (\( 5.81 \times 10^6 \) m/s).

**Questions:**

1. **Which region of the electromagnetic spectrum are each of these wavelengths near?**

    A. **Ultraviolet:** \( 10^{-8} \) to \( 10^{-7} \) meters.  
    B. **X-ray:** \( 10^{-11} \) to \( 10^{-8} \) meters.  
    C. **Gamma ray:** \( 10^{-16} \) to \( 10^{-11} \) meters.  
    D. **Smaller than:** \( 10^{-20} \) meters. Cannot detect wave-like properties. Only particle-like behavior will be observable.

**Given Data and Required Calculations:**

1. **Particle, Mass (kg), Velocity (m/s), Wavelength (m), Region**
   
   - Electron, \( 9.11 \times 10^{-31} \), \( 5.81 \times 10^6 \), [Calculate], [Identify appropriate region]
   - Golf Ball, \( 4.50 \times 10^{-2} \), 31.3, [Calculate], [Identify appropriate region]
   - Proton, \( 1.67 \times 10^{-27} \), \( 5.81 \times 10^6 \), [Calculate], [Identify appropriate region]

**Submit Your Answers:**
Submit your answers after calculating the de Broglie wavelengths and identifying the relevant regions of the electromagnetic spectrum they fall into.

**Tip for Calculation:**
The de Broglie wavelength (\( \lambda \)) can be calculated using the formula:
\[ \lambda = \frac{h}{mv} \]
where:
- \( h \) is the Planck constant (\( 6.626 \times 10^{-34} \) Js),
- \(
Transcribed Image Text:**Understanding the de Broglie Wavelengths of Various Particles** The problem involves comparing the de Broglie wavelength of an electron moving at \( 1.30 \times 10^7 \) miles per hour (\( 5.81 \times 10^6 \) m/s) to that of a golf ball moving at 70.0 miles per hour (31.3 m/s) and a proton with a speed of \( 1.30 \times 10^7 \) miles per hour (\( 5.81 \times 10^6 \) m/s). **Questions:** 1. **Which region of the electromagnetic spectrum are each of these wavelengths near?** A. **Ultraviolet:** \( 10^{-8} \) to \( 10^{-7} \) meters. B. **X-ray:** \( 10^{-11} \) to \( 10^{-8} \) meters. C. **Gamma ray:** \( 10^{-16} \) to \( 10^{-11} \) meters. D. **Smaller than:** \( 10^{-20} \) meters. Cannot detect wave-like properties. Only particle-like behavior will be observable. **Given Data and Required Calculations:** 1. **Particle, Mass (kg), Velocity (m/s), Wavelength (m), Region** - Electron, \( 9.11 \times 10^{-31} \), \( 5.81 \times 10^6 \), [Calculate], [Identify appropriate region] - Golf Ball, \( 4.50 \times 10^{-2} \), 31.3, [Calculate], [Identify appropriate region] - Proton, \( 1.67 \times 10^{-27} \), \( 5.81 \times 10^6 \), [Calculate], [Identify appropriate region] **Submit Your Answers:** Submit your answers after calculating the de Broglie wavelengths and identifying the relevant regions of the electromagnetic spectrum they fall into. **Tip for Calculation:** The de Broglie wavelength (\( \lambda \)) can be calculated using the formula: \[ \lambda = \frac{h}{mv} \] where: - \( h \) is the Planck constant (\( 6.626 \times 10^{-34} \) Js), - \(
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Introduction and Principles of Quantum Theory
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
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY