An electron (m=511 keV/c2 is moving at 0.020c when it collides with a metal target. The electron loses exactly half its kinetic energy and emits a photon. Use the canvas to illustrate the process. Neglect the effects of relativity and use hc = 1.240 keV nm to show how to find the wavelength of the photon.
An electron (m=511 keV/c2 is moving at 0.020c when it collides with a metal target. The electron loses exactly half its kinetic energy and emits a photon. Use the canvas to illustrate the process. Neglect the effects of relativity and use hc = 1.240 keV nm to show how to find the wavelength of the photon.
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Transcribed Image Text:**Educational Exercise: Photon Emission by an Electron**
**Problem Statement:**
An electron (\( m = 511 \, \text{keV}/c^2 \)) is moving at \( 0.020c \) when it collides with a metal target. The electron loses exactly half its kinetic energy and emits a photon. Use the canvas to illustrate the process. Neglect the effects of relativity and use \( hc = 1.240 \, \text{keV nm} \) to show how to find the wavelength of the photon.
**Instructions:**
1. **Conceptual Understanding:**
- Determine the initial kinetic energy of the electron.
- Calculate the energy lost by the electron as it emits the photon.
- Use the energy-wavelength relationship to find the wavelength of the emitted photon.
2. **Assumptions:**
- Effects of relativity are neglected.
- The value of \( hc \) is given as \( 1.240 \, \text{keV nm} \).
3. **Formulas:**
- Kinetic Energy (KE): \( \text{KE} = \frac{1}{2}mv^2 \)
- Energy-Wavelength relationship: \( E = \frac{hc}{\lambda} \)
4. **Calculation Steps:**
- Calculate the kinetic energy of the electron before collision.
- Determine the energy of the photon using the given \( hc \) value.
- Solve for the wavelength \( \lambda \).
**Interactive Components:**
- Use the provided canvas to draw diagrams illustrating energy transfer.
- Include labeled components showing initial and final states.
**Submit your calculations and illustration for review.**
**Discussion Section:**
- Discuss how neglecting relativity might affect the results.
- Explore practical applications of photon emission in technology.
**Feedback Mechanism:**
- Interactive quizzes to test understanding of key concepts.
- Summary notes available for download after completion.
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**Graphical/Diagram Explanation:**
- The image lacks graphs or detailed diagrams. Consider using diagrams to visualize the process as needed.
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