Irodov Solutions

Author: dexter

  • Problem 6.127 — Quantum Confinement: Quantum Dot

    —

    by

    dexter
    in

    Problem Statement Solve the quantum/modern physics problem: Solve the quantum/modern physics problem: An electron is confined to a cubical quantum dot of side $L = 10$ nm. Find the ground state energy and the first excitation energy. A cubic quantum dot is a 3D infinite square well. Energy levels: $$E_{n_x,n_y,n_z} = \frac{\pi^2\hbar^2}{2m_eL^2}(n_x^2+n_y^2+ Given Information Frequency…

  • Irodov Problem 3.26 — Field Between Coaxial Cylinders

    —

    by

    dexter
    in

    Problem Statement Irodov Problem 3.26 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field between coaxial cylinders. 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 3.367 — Maxwell’s equations

    —

    by

    dexter
    in

    Problem Statement Irodov Problem 3.367 — 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 6.134 — Wavefunction Collapse

    —

    by

    dexter
    in

    Problem Statement Solve the oscillation/wave problem: Solve the oscillation/wave problem: Explain the measurement postulate and wavefunction collapse with a concrete example. Measurement postulate: Before measurement, a quantum system is in a superposition of eigenstates. Upon measurement of observable $\hat{A}$: The probability of obtaining eigenvalue Given Information Mass $m$ and spring constant $k$ (or equivalent), or…

  • Problem 3.366 — Maxwell’s equations

    —

    by

    dexter
    in

    Problem Statement Irodov Problem 3.366 — 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 6.190 — Nuclear Magnetic Resonance

    —

    by

    dexter
    in

    Problem Statement Solve the nuclear physics problem: Solve the magnetic field/force problem: Find the resonance frequency for proton NMR at $B = 7.05$ T (the proton gyromagnetic ratio $\gamma_p = 2.675\times10^8$ rad/T·s). The proton magnetic moment precesses around $\mathbf{B}$ at the Larmor frequency: $$\omega_L = \gamma_p B = 2.675\times10^8\times7 Given Information Nuclide symbol, atomic number…

  • Problem 6.126 — Hydrogen: Paschen Series

    —

    by

    dexter
    in

    Problem Statement Find the wavelengths of the first three lines of the Paschen series ($n_f = 3$). 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 3.365 — Maxwell’s equations

    —

    by

    dexter
    in

    Problem Statement Irodov Problem 3.365 — 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 3.25 — Potential of a Long Charged Wire

    —

    by

    dexter
    in

    Problem Statement Irodov Problem 3.25 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving potential of a long charged wire. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts &…

  • Problem 3.364 — Maxwell’s equations

    —

    by

    dexter
    in

    Problem Statement Irodov Problem 3.364 — 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…