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
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...
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![**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),
- \(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d3b8c7b-85a6-47a8-901c-7cde79ed8dbf%2F6c169228-0019-4cbc-8d26-3194b483e43a%2Fj5rtarp_processed.jpeg&w=3840&q=75)
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),
- \(
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