The text focuses on calculating the group and phase velocities of 5.7 MeV protons and electrons using the concept of \(\beta\) and velocity \(v\) relative to the speed of light \(c\).---**Problem Statement:**It can be shown that the group velocity is \(\beta \cdot c\) and the phase velocity is \(c/\beta\) where \(\beta = v/c\). (Enter your answers, in terms of \(c\), to at least four significant figures.)1. **Find the group velocity of 5.7 MeV protons.** - Incorrect Answer: \(0.1102 \, c\) ❌2. **Find the phase velocity of 5.7 MeV protons.** - Correct Answer: \(9.113 \, c\) ✔️3. **Find the group velocity of 5.7 MeV electrons.** - Incorrect Answer: \(4.7 \, c\) ❌4. **Find the phase velocity of 5.7 MeV electrons.** - Correct Answer: \(1.0034 \, c\) ✔️---Each question tests understanding of how energy levels affect group and phase velocities for different particles. Correct answers are marked with a green check, while incorrect ones with a red cross.

Answered: Image /qna-images/answer/5c797444-2221-424b-86f3-decdbc10b00b.jpg

It can be shown that the group velocity is ßc and the phase velocity is c/ß where ß= v/c. (Enter your answers, in terms of c, to at least four significant figures.) Find the group velocity of 5.7 MeV protons. 0.1102 X C Find the phase velocity of 5.7 MeV protons. 9.113✔✔ C Find the group velocity of 5.7 MeV electrons. 4.7 X C Find the phase velocity of 5.7 MeV electrons. 1.0034 ✓ C

It can be shown that the group velocity is ßc and the phase velocity is c/ß where ß= v/c. (Enter your answers, in terms of c, to at least four significant figures.) Find the group velocity of 5.7 MeV protons. 0.1102 X C Find the phase velocity of 5.7 MeV protons. 9.113✔✔ C Find the group velocity of 5.7 MeV electrons. 4.7 X C Find the phase velocity of 5.7 MeV electrons. 1.0034 ✓ C