College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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thank you in advance I've been stuck for awhile
![**Question:** Find the energy of a photon (of violet light) with a frequency of \(6.8 \times 10^{14}\) Hz.
**Answer:**
To find the energy of a photon, we use the equation derived from Planck's equation:
\[E = h \cdot f\]
Where:
- \(E\) is the energy of the photon
- \(h\) is Planck's constant (\(6.626 \times 10^{-34}\) Joule·seconds)
- \(f\) is the frequency of the light
Given the frequency (\(f\)) is \(6.8 \times 10^{14}\) Hz, we substitute these values into the equation:
\[E = (6.626 \times 10^{-34} \, \text{Js}) \times (6.8 \times 10^{14} \, \text{Hz})\]
Perform the multiplication to find the energy:
\[E \approx 4.507 \times 10^{-19} \, \text{Joules}\]
**Conclusion:**
The energy of a photon of violet light with a frequency of \(6.8 \times 10^{14}\) Hz is approximately \(4.507 \times 10^{-19}\) Joules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1650c485-6c23-4e48-b383-0890bbe2f072%2F60b9b223-db2d-4fbb-acec-bc3f765b66a7%2F5bq3nyk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:** Find the energy of a photon (of violet light) with a frequency of \(6.8 \times 10^{14}\) Hz.
**Answer:**
To find the energy of a photon, we use the equation derived from Planck's equation:
\[E = h \cdot f\]
Where:
- \(E\) is the energy of the photon
- \(h\) is Planck's constant (\(6.626 \times 10^{-34}\) Joule·seconds)
- \(f\) is the frequency of the light
Given the frequency (\(f\)) is \(6.8 \times 10^{14}\) Hz, we substitute these values into the equation:
\[E = (6.626 \times 10^{-34} \, \text{Js}) \times (6.8 \times 10^{14} \, \text{Hz})\]
Perform the multiplication to find the energy:
\[E \approx 4.507 \times 10^{-19} \, \text{Joules}\]
**Conclusion:**
The energy of a photon of violet light with a frequency of \(6.8 \times 10^{14}\) Hz is approximately \(4.507 \times 10^{-19}\) Joules.
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