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Showing 24 of 341 formulas Page 9 of 15

Photon Energy from Wavelength

Physics β†’ Quantum Mechanics β†’ Light β†’ Photon Properties
$$E = \frac{hc}{\lambda}$$
Energy of photon in terms of wavelength.
πŸ“– Physics πŸ“š Light

Biot-Savart Law

Physics β†’ Electromagnetism β†’ Moving Charges And Magnetism β†’ Magnetic Field
$$d\vec{B} = \frac{\mu_0}{4\pi} \frac{I d\vec{l} \times \hat{r}}{r^2}$$
Describes the magnetic field generated by a constant electric current.
πŸ“– Physics πŸ“š Moving Charges And Magnetism

Rate Law (General)

Chemistry β†’ Physical Chemistry β†’ Chemical Kinetics β†’ Reaction Rate
$$Rate = k[A]^m [B]^n$$
An equation that links the initial or forward reaction rate with the concentrations or pressures of the reactants and constant parameters.
πŸ“– Chemistry πŸ“š Chemical Kinetics

Work Done in Isothermal Process

Physics β†’ Thermodynamics β†’ Gas Laws β†’ Process Work
$$W = nRT \ln\left(\frac{V_2}{V_1}\right)$$
Work done by an ideal gas when temperature is held constant.
πŸ“– Physics πŸ“š Gas Laws

Parallel Axis Theorem

Physics β†’ Mechanics β†’ Rotational Motion β†’ Moment Of Inertia
$$I = I_{cm} + Md^2$$
Relates the moment of inertia of a body about any axis to the moment of inertia about a parallel axis through the center of mass.
πŸ“– Physics πŸ“š Rotational Motion

Hess's Law

Chemistry β†’ Thermodynamics β†’ Thermochemistry β†’ Enthalpy
$$\Delta H_{\text{rxn}} = \sum \Delta H_f(\text{products}) - \sum \Delta H_f(\text{reactants})$$
Total enthalpy change for a reaction is the same regardless of the path taken.
πŸ“– Chemistry πŸ“š Thermochemistry

Magnetic Force on Charge

Physics β†’ Electromagnetism β†’ Moving Charges β†’ Lorentz Force
$$F = qvB \sin \theta$$
Force exerted on a moving point charge in a magnetic field.
πŸ“– Physics πŸ“š Moving Charges

Power in AC Circuits

Physics β†’ Electromagnetism β†’ Alternating Current β†’ Power
$$P = V_{rms} I_{rms} \cos \phi$$
Real power consumed in an AC circuit with a phase difference.
πŸ“– Physics πŸ“š Alternating Current

Kirchhoff's Current Law (KCL)

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Circuit Laws
$$\sum I_{in} = \sum I_{out}$$
The total current entering a junction is equal to the total current leaving the junction.
πŸ“– Physics πŸ“š Current Electricity

Phase Rule

Chemistry β†’ Physical Chemistry β†’ Chemical Equilibrium β†’ Phase Equilibrium
$$F = C - P + 2$$
Relates the number of degrees of freedom, components, and phases in a system at equilibrium.
πŸ“– Chemistry πŸ“š Chemical Equilibrium

Energy of a Photon

Physics β†’ Modern Physics β†’ Dual Nature β†’ Quantization
$$E = hf = \frac{hc}{\lambda}$$
Relates the energy of a light particle to its frequency or wavelength.
πŸ“– Physics πŸ“š Dual Nature

Buoyant Force

Physics β†’ Fluid Mechanics β†’ Statics β†’ Archimedes' Principle
$$F_b = \rho V g$$
Upward force exerted by a fluid on an immersed object.
πŸ“– Physics πŸ“š Statics

Stokes' Law

Physics β†’ Fluid Mechanics β†’ Viscosity β†’ Drag Force
$$F_d = 6\pi \eta r v$$
Force of viscosity on a small sphere moving through a viscous fluid.
πŸ“– Physics πŸ“š Viscosity

Integration of 1/x

Math β†’ Calculus β†’ Integrals β†’ Basic Integrals
$$\int \frac{1}{x} \, dx = \ln|x| + C$$
Special case for integrating power functions where $n = -1$.
πŸ“– Math πŸ“š Integrals

Molar Conductivity

Chemistry β†’ Electrochemistry β†’ Electrochemistry β†’ Conductance
$$\Lambda_m = \frac{\kappa}{C}$$
The conducting power of all the ions produced by dissolving one mole of electrolyte in solution.
πŸ“– Chemistry πŸ“š Electrochemistry

Volume of a Cylinder

Math β†’ Geometry β†’ 3d Shapes β†’ Volume
$$V = \pi r^2 h$$
Capacity of a solid with two parallel circular bases.
πŸ“– Math πŸ“š 3d Shapes

Root Mean Square Speed

Physics β†’ Thermodynamics β†’ Kinetic Theory β†’ Gas Speeds
$$v_{rms} = \sqrt{\frac{3RT}{M}}$$
The measure of the speed of particles in a gas.
πŸ“– Physics πŸ“š Kinetic Theory

Standard Heat of Formation

Chemistry β†’ Thermodynamics β†’ Thermochemistry β†’ Enthalpy
$$\Delta H_f^\circ = H_{\text{compound}} - \sum H_{\text{elements}}$$
Enthalpy change when one mole of a compound is formed from its elements in their standard states.
πŸ“– Chemistry πŸ“š Thermochemistry

Parallel Resistors

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Circuit Combinations
$$\frac{1}{R_{eq}} = \sum \frac{1}{R_i}$$
Calculates total resistance when current has multiple paths.
πŸ“– Physics πŸ“š Current Electricity

Displacement in SHM

Physics β†’ Mechanics β†’ Oscillations β†’ Simple Harmonic Motion
$$x = A \cos(\omega t + \phi)$$
Position of an oscillating mass at any time $t$.
πŸ“– Physics πŸ“š Oscillations

Limit Definition of Derivative

Math β†’ Calculus β†’ Differentiation β†’ Fundamentals
$$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$
The exact rate of change at a specific point.
πŸ“– Math πŸ“š Differentiation

Work Done in Adiabatic Process

Physics β†’ Thermodynamics β†’ Thermodynamic Processes β†’ Adiabatic Work
$$W = \frac{P_1V_1 - P_2V_2}{\gamma - 1}$$
Calculates the work done by or on an ideal gas when no heat is exchanged with the surroundings.
πŸ“– Physics πŸ“š Thermodynamic Processes

Young's Double Slit Experiment (Fringe Width)

Physics β†’ Optics β†’ Wave Optics β†’ Interference
$$\beta = \frac{\lambda D}{d}$$
The distance between two consecutive bright or dark fringes on a screen.
πŸ“– Physics πŸ“š Wave Optics

Kirchhoff's Voltage Law (KVL)

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Circuit Laws
$$\sum V = 0$$
The algebraic sum of all electrical potential differences around any closed network (loop) is zero.
πŸ“– Physics πŸ“š Current Electricity
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