Author: dexter

  • HCV Ch28 P6 – Wien’s Displacement Law: Peak Wavelength

    Problem Statement Solve the oscillation/wave problem: Solve the oscillation/wave problem: Find the wavelength at which radiation emitted by the Sun is maximum, given the Sun’s surface temperature is 5778 K. Also find the peak wavelength for a body at 300 K (room temperature). ($b = 2.898 \times 10^{-3}$ m·K) Wien’s constant $b = 2.898 \times…

  • Irodov Problem 3.91 — Mixed Geometry: Plane and Sphere

    Problem Statement Irodov Problem 3.91 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving mixed geometry: plane and sphere. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • Problem 2.164 — Adsorption: Langmuir Isotherm

    Problem Statement Derive the Langmuir adsorption isotherm for a gas adsorbing on a surface with $N_{sites}$ identical sites. 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 of motion, then solving…

  • Irodov Problem 3.91 — Mixed Geometry: Plane and Sphere

    Problem Statement Irodov Problem 3.91 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving mixed geometry: plane and sphere. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • Problem 2.163 — Emulsions: Droplet Size and Stability

    Problem Statement An oil-in-water emulsion has droplets of radius $R=1\ \mu\text{m}$ and $\sigma_{oil-water}=0.05\ \text{N/m}$. Find the excess pressure inside a droplet and the free energy per droplet relative to bulk separation. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • HCV Ch28 P5 – Newton’s Law of Cooling

    Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A body at 70°C cools to 60°C in 5 minutes in a room at 25°C. How long will it take to cool from 60°C to 50°C? $T_{room} = 25°C$ Cools 70°C → 60°C in 5 minutes Find time to…

  • Irodov Problem 3.90 — Self-Energy: Shell vs Sphere

    Problem Statement Solve the work-energy problem: Solve the work-energy problem: Irodov Problem 3.90 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving self-energy: shell vs sphere. Charge parameters and geometry as specified in Irodov 3.90 $\var Given Information See problem statement for all…

  • Irodov Problem 3.90 — Self-Energy: Shell vs Sphere

    Problem Statement Solve the work-energy problem: Solve the work-energy problem: Irodov Problem 3.90 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving self-energy: shell vs sphere. Charge parameters and geometry as specified in Irodov 3.90 $\var Given Information See problem statement for all…

  • Problem 2.162 — Foam Stability and Disjoining Pressure

    Problem Statement Solve the fluid mechanics problem: Solve the fluid mechanics problem: Explain what determines the stability of a soap foam film. A soap film consists of two surfactant monolayers enclosing a thin water layer (thickness $h$). The stability is determined by the disjoining pressure $\Pi(h)$ — the net pressure between the two interfaces. Given…

  • Problem 2.161 — Surface Tension: Liquid Jet Instability (Rayleigh-Plateau)

    Problem Statement Solve the fluid mechanics problem: Solve the Newton’s Laws / mechanics problem: Explain the Rayleigh-Plateau instability: why a liquid jet breaks into droplets. A cylinder of liquid of radius $R$ and length $L$ has surface area $A = 2\pi RL$. If perturbed sinusoidally with wavelength $\lambda$, the jet breaks into spherical droplets Given…