Author: dexter
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Irodov Problem 3.79 — Field Near a Curved Conductor
Problem Statement Irodov Problem 3.79 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field near a curved conductor. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…
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Irodov Problem 3.79 — Field Near a Curved Conductor
Problem Statement Irodov Problem 3.79 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field near a curved conductor. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…
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Problem 2.143 — Vapour Pressure: Effect of Dissolved Salt
Problem Statement Solve the fluid mechanics problem: Solve the fluid mechanics problem: Find the reduction in vapour pressure when $n_s = 0.1\ \text{mol}$ of NaCl (fully dissociated) is dissolved in $n_w = 1.0\ \text{mol}$ of water at $T=100°\text{C}$. Raoult’s law: vapour pressure of solvent is reduced by the mole fraction of solute. NaCl fully disso…
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Problem 2.142 — Liquid-Vapour Coexistence: Clapeyron Slope
Problem Statement At $T=373\ \text{K}$, water vaporises with $L=40.7\ \text{kJ/mol}$ and $\Delta V = 30.0\ \text{L/mol}$. Find $dp/dT$ for the liquid-vapour coexistence curve. 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…
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HC Verma Chapter 7 Problem 26 — Particle sliding inside a bowl: normal force
Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A ball of mass 0.2 kg slides inside a spherical bowl of radius 0.4 m at constant speed 2 m/s. Find the normal force at the bottom of the bowl. ($g = 10$ m/s²) At bottom: $N – mg…
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Irodov Problem 3.78 — Charging Capacitor: Energy and Charge
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.78 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving charging capacitor: energy and charge. Charge parameters and geometry as specified i Given Information See problem statement for all given quantities.…
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Irodov Problem 3.78 — Charging Capacitor: Energy and Charge
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.78 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving charging capacitor: energy and charge. Charge parameters and geometry as specified i Given Information See problem statement for all given quantities.…
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Problem 2.141 — Osmotic Pressure: Van’t Hoff Law
Problem Statement Solve the fluid mechanics problem: Solve the fluid mechanics problem: Find the osmotic pressure of a $0.1\ \text{mol/L}$ solution of glucose in water at $T=300\ \text{K}$. Van’t Hoff’s law (dilute solutions behave like ideal gases): $$\Pi = \nu RT/V = cRT$$ where $c = 0.1\ \text{mol/L} = 100\ \text{mol/m}^3$. $$\Pi = 100\times8.314\t Given…
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Problem 2.140 — Phase Rule: Degrees of Freedom
Problem Statement State Gibbs’ phase rule $F = C – P + 2$ and apply it to: (a) water at the triple point, (b) water–ice equilibrium, (c) a single-phase pure gas. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…
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HC Verma Chapter 7 Problem 25 — Circular motion: angular frequency from force
Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A 0.1 kg ball tied to a string of length 0.5 m rotates in a horizontal circle at 2 rev/s. Find the tension in the string. ($g = 10$ m/s²) String is horizontal: $T = m\omega^2 r$ (assuming no…