Chemistry & Chemical Reactivity
9th Edition
ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter6: The Structure Of Atoms
Section: Chapter Questions
Problem 3PS: Traffic signals are often now made of LEDs (light-emitting diodes). Amber and green ones are...
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Transcribed Image Text:**Educational Transcription: Understanding Electromagnetic Waves and Photon Energy**
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**7. Calculating the Frequency of Green Light from a Traffic Signal**
The wavelength of green light emitted is given as \(5.20 \times 10^{-5} \, \text{cm}\). Calculate the frequency (\(v\)).
- Formula: \( v = \frac{c}{\lambda} \)
- Given:
- \( \lambda = 5.20 \times 10^{-7} \, \text{m} \) (converted to meters)
- \( c = 3.0 \times 10^8 \, \text{m/s} \)
- Solution:
- \( v = \frac{3.0 \times 10^8 \, \text{m/s}}{5.20 \times 10^{-7} \, \text{m}} = 5.7 \times 10^{14} \, \text{Hz} \)
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**8. Calculating Frequency for \(5 \times 10^{-8} \, \text{m}\) Wavelength**
Determine the frequency and identify the type of electromagnetic radiation.
- Given:
- \( \lambda = 5 \times 10^{-8} \, \text{m} \)
- Calculation:
- \( v = \frac{3 \times 10^8 \, \text{m/s}}{5 \times 10^{-8} \, \text{m}} = 6 \times 10^{15} \, \text{Hz} \)
- Identified Radiation: Ultraviolet (UV)
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**9. Wavelength Calculation for a Photon Energy of \(2.87 \times 10^{-16} \, \text{J}\)**
Determine the wavelength (\(\lambda\)).
- Energy (\(E\)) given as \(2.87 \times 10^{-16} \, \text{J}\)
- Using Planck's equation \(E = \frac{hc}{\lambda}\)
- Constants:
- \(h = 6.63 \times 10^{-34} \, \text{Js}\)
- \(c = 3 \times 10^8 \, \text{m/s}\)
- Calculation:
- Rearrange to \( \lambda = \frac{hc
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