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Physics
Modern Physics with Modern Computational Methods
59 SOLVED PROBLEMS
Question: 15.2
Using the atomic masses of the 1 1H and 4 2H e isotopes given in Table 15.1 and the mass of the neutron given in Appendix A, calculate the binding energy of the 4 2H e nucleus. ...
Verified Answer:
The reaction in which two hydrogen atoms combine w...
Question: 14.4
Show that the states of a p electron, Y11, Y10, and Y1−1, transform according to a three-dimensional representation of the rotation group R(3). ...
Verified Answer:
According to Eq. (14.52), the product of the rotat...
Question: 14.3
Give the quark composition of the particles in the following processes and draw the Feynman diagram (a) π^+ + p → Δ^++ + π^0 (b) Λ → π^- + p (c) n → p + e^- +ve (d) Ω^- → Ξ^0 + e^- ve ...
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We shall first write each reaction formula showing...
Question: 13.6
Construct the matrix α · p + mβ that occurs in the above equation. ...
Verified Answer:
In the Dirac-Pauli representation of the α and β m...
Question: 13.5
A rho meson (ρ+) with a rest mass energy of 775.5 MeV decays into a pion (π+) with a rest mass energy of 139.6 MeV and a gamma ray according to the reaction formula ρ+ → π+ + γ Find the velocity of the π+ produced by the reaction. ...
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We shall suppose the rho meson is at rest when it ...
Question: 13.4
Suppose that a beam of positrons strike electrons that are at rest. What must the kinetic energy of the positrons be to produce the Z0? ...
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As in the previous example, the energy and momentu...
Question: 13.3
The intermediate vector boson Z0, which has a rest mass energy of 91.187 GeV, is produced in collisions of positrons and electrons e+ + e− → Z0. How much energy must the positrons and electrons in symmetric colliding beams have to produce the Z0? ...
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According to Eq. (13.14), the energy and momentum ...
Question: 8.1
Calculate the number of ways of choosing three molecules from a collection of six molecules. ...
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Using Eq. (8.3), the number of ways of choosing th...
Question: 3.4
Find the average value of χ² and the average value of the kinetic energy for the three smallest even and odd eigenvalues of the harmonic oscillator. ...
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According to Eq. (3.29), the Schrödinger equation ...
Question: 3.3
An electron is confined to a region of the size of an atom (0.1 nm). What is the minimum uncertainty of the momentum of the electron? What is the kinetic energy of an electron with a momentum equal to this uncertainty? ...
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Using the Uncertainty Principle, the minimum uncer...
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