Irodov Solutions

Author: dexter

  • HC Verma Chapter 7 Problem 16 — Particle in circular motion: direction of acceleration

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    Problem Statement Solve the kinematics problem: Solve the kinematics problem: A particle moves in a circle at constant speed. In what direction does the acceleration point? What is the direction of the net force? Centripetal acceleration always points toward center; net force = centripetal force (toward center) Step 1: Since speed is constant, th Given…

  • Problem 2.125 — Work Done in a Throttling Process

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    Problem Statement Solve the work-energy problem: Solve the work-energy problem: Show that the enthalpy is conserved in a throttling (Joule-Thomson) process. In a throttling process, gas flows steadily through a porous plug or constriction. Consider a unit mass flowing from high-pressure side (pressure $p_1$, specific volume $v_1$) to low-pressure Given Information See problem statement for…

  • Irodov Problem 3.68 — Polarization Charge at Interface

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    Problem Statement Irodov Problem 3.68 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving polarization charge at interface. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution…

  • Problem 2.124 — Adiabatic Compressibility vs Isothermal

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    Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: Show that $\kappa_S = \kappa_T/\gamma$, where $\kappa_S$ and $\kappa_T$ are adiabatic and isothermal compressibilities. $\kappa_T = -\frac{1}{V}(\partial V/\partial p)_T$ and $\kappa_S = -\frac{1}{V}(\partial V/\partial p)_S$. From $pV^\gamma = \text{const}$ (adiaba Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem…

  • HC Verma Chapter 7 Problem 15 — Bead on rotating wire

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    Problem Statement A bead of mass 50 g is threaded on a smooth wire and rotates at $\omega = 4$ rad/s. The wire is horizontal at radius $r = 0.5$ m from the axis. Find the normal force from the wire. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This…

  • Problem 2.123 — Gruneisen Parameter

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    Problem Statement Define the Gruneisen parameter $\Gamma = V(\partial p/\partial U)_V$ and show it relates thermal pressure to internal energy in solids. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the relevant conservation laws and equations…

  • Irodov Problem 3.67 — Field in Dielectric: Gauss Law with D

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    Problem Statement Determine the electric field for the configuration described: Determine the electric field for the configuration described: Irodov Problem 3.67 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field in dielectric: gauss law with d. Charge parameters and ge Given Information…

  • HC Verma Chapter 7 Problem 14 — Centripetal vs centrifugal force

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    Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: Distinguish between centripetal force and centrifugal force. Which is real and which is pseudo? Centripetal: real force directed toward center (inertial frame); Centrifugal: pseudo force in rotating frame Centripetal force: A real force (could be tension, Given Information See…

  • Problem 2.122 — Heat Capacity at Constant Pressure: General Formula

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    Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: Show that for any substance: $C_p – C_v = -T\frac{(\partial p/\partial T)_V^2}{(\partial p/\partial V)_T}$. Start from $C_p – C_v = T(\partial p/\partial T)_V(\partial V/\partial T)_p$. Using the triple product rule: $(\partial V/\partial T)_p = -(\partial p/\partia Given Information See problem statement for all given quantities.…

  • Problem 2.121 — Work Done by Van der Waals Gas in Isothermal Expansion

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    Problem Statement Solve the thermodynamics problem: Solve the work-energy problem: One mole of a van der Waals gas expands isothermally at $T=300\ \text{K}$ from $V_1=1.0\ \text{L}$ to $V_2=10\ \text{L}$. The constants are $a=0.136\ \text{J·m}^3/\text{mol}^2$, $b=38.5\ \text{cm}^3/\text{mol}$. Find the work done and compare with the ideal gas value. Given Information See problem statement for all given…