Author: dexter
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Problem 6.133 — Photon Scattering: Thomson and Compton
Problem Statement Solve the quantum/modern physics problem: Solve the quantum/modern physics problem: At what photon energy does the Compton cross section equal the Thomson cross section? The Thomson cross section (classical limit, low energy): $$\sigma_T = \frac{8\pi}{3}r_e^2 = \frac{8\pi}{3}\left(\frac{e^2}{4\pi\varepsilon_0m_ec^2}\right)^2 = 6.65\times10^ Given Information Frequency $\nu$ or wavelength $\lambda$ of radiation Work function $\phi$ of metal…
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Problem 6.189 — Electron Capture
Problem Statement Find the Q-value for electron capture (EC) in $^{65}$Zn: $^{65}$Zn + $e^- \to ^{65}$Cu + $\nu_e$. Masses: $M(^{65}Zn) = 64.92924$ u, $M(^{65}Cu) = 64.92778$ u. 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…
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Problem 3.363 — Maxwell’s equations
Problem Statement Irodov Problem 3.363 — 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…
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Irodov Problem 3.24 — Field of Long Charged Cylinder
Problem Statement Irodov Problem 3.24 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field of long charged cylinder. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas…
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Problem 6.125 — Dirac Equation: Electron Spin
Problem Statement Explain how the Dirac equation naturally predicts electron spin and the $g$-factor $g_s = 2$. 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…
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HC Verma Chapter 31 Problem 75 – Summary Problem — Full Capacitor Network
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Find the equivalent capacitance across terminals A–B for the following: $C_1 = 3\mu$F (A to C), $C_2 = 6\mu$F (C to D), $C_3 = 2\mu$F (A to D), $C_4 = 4\mu$F (C to B), $C_5 = 3\mu$F (D to B). Step 1: Path A–C–B: $C_1$…
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Problem 3.362 — Maxwell’s equations
Problem Statement Irodov Problem 3.362 — 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…
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HCV Ch26 P15 – Adiabatic Process: Relation Between P and T
Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: A diatomic ideal gas ($\gamma = 7/5$) at $P_1 = 2 \times 10^5$ Pa, $T_1 = 300$ K expands adiabatically until its pressure drops to $P_2 = 10^5$ Pa. Find $T_2$. ($R = 8.314$ J/mol·K) $\gamma = 1.4$ (diatomic) $P_1 = 2 \times 10^5$ Pa,…
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Problem 6.132 — Atomic Ionization by Electron Impact
Problem Statement Find the minimum electron kinetic energy needed to ionize a helium atom from the ground state (first ionization energy = 24.6 eV). 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.…
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Problem 3.361 — Maxwell’s equations
Problem Statement Irodov Problem 3.361 — 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…