Irodov Solutions

Author: dexter

  • Problem 3.371 — Maxwell’s equations

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    dexter
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    Problem Statement Irodov Problem 3.371 — Maxwell’s equations. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply…

  • Problem 6.136 — Quantum Statistics: Fermi-Dirac Distribution

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    dexter
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    Problem Statement Solve the quantum/modern physics problem: Solve the quantum/modern physics problem: Write the Fermi-Dirac distribution and find the Fermi energy for free electrons in a metal with $n = 8.5\times10^{28}$ m$^{-3}$ (copper). Fermi-Dirac distribution: $$f(E) = \frac{1}{e^{(E-E_F)/(k_BT)} + 1}$$ At $T=0$: $f=1$ for $E E_F$. The Fermi energy: $$E Given Information Frequency $\nu$ or…

  • Problem 3.370 — Maxwell’s equations

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    by

    dexter
    in

    Problem Statement Irodov Problem 3.370 — Maxwell’s equations. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply…

  • Problem 6.128 — Born Approximation: Scattering Cross Section

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    dexter
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    Problem Statement Using the Born approximation, find the differential scattering cross section for a Yukawa potential $V = (V_0/r)e^{-r/a}$. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify…

  • Problem 6.192 — Liquid Drop Fission Barrier

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    dexter
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    Problem Statement Solve the nuclear physics problem: From the liquid drop model, derive the condition for spontaneous fission. All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) This problem draws on fundamental physical principles. The key is to identify which conservation l Given Information Nuclide symbol,…

  • Problem 3.369 — Maxwell’s equations

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    by

    dexter
    in

    Problem Statement Irodov Problem 3.369 — Maxwell’s equations. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply…

  • Irodov Problem 3.27 — Potential Difference: Coaxial Geometry

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    dexter
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    Problem Statement Irodov Problem 3.27 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving potential difference: coaxial geometry. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This…

  • Problem 6.135 — Many-Electron Atoms: Shielding

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    dexter
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    Problem Statement For a 3s electron in Na ($Z=11$), estimate the effective nuclear charge using Slater’s rules. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation…

  • Problem 3.368 — Maxwell’s equations

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    dexter
    in

    Problem Statement Irodov Problem 3.368 — Maxwell’s equations. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply…

  • Problem 6.191 — Binding Energy: Mirror Nuclei

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    dexter
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    Problem Statement Solve the nuclear physics problem: Solve the optics problem: Mirror nuclei $^7$Li and $^7$Be differ only by swapping one proton and one neutron. Their mass difference is 1.644 MeV. Find the Coulomb energy difference and verify charge independence. Mirror nuclei: $^7_3$Li (3p, 4n) and $^7_4$Be (4p, 3n). They differ by one $p\leftright Given…