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Physics
Essential College Physics
312 SOLVED PROBLEMS
Question: 26.7
Λ Decay In Conceptual Example 26.4, you saw one possible decay of the lambda particle (a baryon): Λ → p^+ + π^-. Describe the quark transformation in this decay and in the one that follows it. ...
Verified Answer:
From Table 26.6, the Λ's quark composition is uds....
Question: 26.8
Speed of a High-Energy Electron What s the speed of the electrons in the 50-GeV linac at SLAC? Express the answer as a fraction of the speed of light. ORGANIZE AND PLAN This kinetic energy is much higher than the electron s rest energy (0.511 MeV), so relativity is essential here. Useful ...
Verified Answer:
\text { Because } K \gg E_{0} \text { in th...
Question: 26.6
Positron Decay and Electron Capture Discuss the quark transformation that occurs during positron decay and electron capture. ...
Verified Answer:
Recall from Chapter 25 that positron decay can be ...
Question: 26.4
Decay of the Particle The lambda (Λ) particle (Table 26.4) is an uncharged, heavy baryon that can decay via the reactions Λ → p^+ + π^- and Λ → n + π^0. Examine both these reactions from the standpoint of conservation laws. ...
Verified Answer:
It's best to consider the conservation laws one at...
Question: 26.5
Muon Decay Examine the process of muon decay μ^- → e^- + νe + νμ from the standpoint of conservation laws. ...
Verified Answer:
The particles here are all leptons. With the muon ...
Question: 26.9
Stationary Targets versus Colliding Beams Compare the energies available from a 1.0-TeV proton accelerator when (a) two 1.0-TeV protons collide head-on and (b) a 1.0-TeV proton strikes another proton in a stationary target. ORGANIZE AND PLAN For colliding particles each with kinetic energy K, ...
Verified Answer:
Here it's convenient to express all energies in Ge...
Question: 26.3
Range of the Weak Force Use the masses of the weak-force mediators to estimate the range of the weak force. ORGANIZE AND PLAN Equation 26.2 relates particle mass m and interaction range R: m = h/2πRc ...
Verified Answer:
We first convert rest energies into masses, so we ...
Question: 26.1
Antiproton Creation Two protons moving in opposite directions collide, causing the reaction p + p → p + p + p + p. What’s the minimum kinetic energy for each proton? ORGANIZE AND PLAN Figure 26.2 shows the situation before and after the collision, where we’ve defined the x-axis to be along ...
Verified Answer:
Using the proton mass, the energy required is [lat...
Question: 26.2
Photon Mass Use the fact that the electromagnetic force acts over an infinite distance to predict the photon’s mass. ...
Verified Answer:
As shown in Equation 26.2, the mass of a mediating...
Question: 25.12
Helium Burning Find the energy released in the reaction 3^4He → ^12C. ORGANIZE AND PLAN As usual with nuclear reactions, the mass difference between initial and final particles is large enough that we can use E = Δmc² to find the energy release. Known: M(4^He) = 4.0026 u; M(12^C) = 12.0000 u; ...
Verified Answer:
For this process
E=\Delta m c^{2}=\left[3 M...
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