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Showing 24 of 341 formulas Page 4 of 15

Planck's Relation

Energy of a photon is proportional to its frequency.

📖 Physics 📚 Old Quantum Theory

Doppler Effect (Sound)

$$f' = f\left(\frac{v \pm v_o}{v \mp v_s}\right)$$

Observed frequency change due to relative motion.

📖 Physics 📚 Sound Waves

Graham's Law of Effusion

$$\frac{r_1}{r_2} = \sqrt{\frac{M_2}{M_1}}$$

Rate of effusion is inversely proportional to square root of molar mass.

📖 Chemistry 📚 Kinetic Molecular Theory

Moment of Inertia (Point Mass)

Rotational inertia of a point mass about an axis.

📖 Physics 📚 Rotational Dynamics

Time Period of Simple Pendulum

$$T = 2\pi \sqrt{\frac{L}{g}}$$

Time period of a simple pendulum: $$T = 2\pi \sqrt{\frac{L}{g}}$$

📖 Physics 📚 Oscillations

Simple Harmonic Motion Acceleration

$$a = -\omega^2 x$$

Acceleration in SHM: $$a = -\omega^2 x$$

📖 Physics 📚 Oscillations

Coulomb Potential Energy

$$U = k \frac{q_1 q_2}{r}$$

Potential energy between charges

📖 Physics 📚 Energy

Poiseuille's Law

$$Q = \frac{\pi r^4 \Delta P}{8 \eta L}$$

Flow rate in a pipe

📖 Physics 📚 Viscosity

Bernoulli Equation

$$P + \frac{1}{2}\rho v^2 + \rho gh = constant$$

Energy conservation in fluid

📖 Physics 📚 Energy

Gravitational Potential

$$V = -\frac{GM}{r}$$

Gravitational potential

📖 Physics 📚 Potential

Ohmic Heating

$$H = I^2 R t$$

Heat produced in resistor

📖 Physics 📚 Heating

Faraday's Law

$$\mathcal{E} = -\frac{d\Phi}{dt}$$

📖 Physics 📚 Induction

Capacitor Energy

$$U = \frac{1}{2}CV^2$$

Energy stored in capacitor

📖 Physics 📚 Capacitors

Diffusion Equation

$$J = -D \frac{dC}{dx}$$

📖 Physics 📚 Diffusion

Ideal Gas Internal Energy

$$U = \frac{3}{2} nRT$$

Energy of ideal gas

📖 Physics 📚 Energy

Electric Field

$$E = \frac{F}{q}$$

Force per unit charge

📖 Physics 📚 Field

Magnetic Field of Wire

$$B = \frac{\mu_0 I}{2\pi r}$$

Field around a wire

📖 Physics 📚 Fields

Time Dilation

$$t' = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}}$$

Relativistic time

📖 Physics 📚 Special Relativity

Length Contraction

$$L = L_0 \sqrt{1 - \frac{v^2}{c^2}}$$

Relativistic contraction

📖 Physics 📚 Special Relativity

Schrodinger Equation

$$i\hbar \frac{\partial \psi}{\partial t} = -\frac{\hbar^2}{2m} \nabla^2 \psi + V\psi$$

Quantum wave equation

📖 Physics 📚 Wave Mechanics

Fourier Transform

$$F(\omega) = \int_{-\infty}^{\infty} f(t)e^{-i\omega t} dt$$

Frequency domain representation

📖 Mathematics 📚 Transforms

Bayes Theorem

$$P(A|B) = \frac{P(B|A)P(A)}{P(B)}$$

Conditional probability

📖 Mathematics 📚 Statistics

Lens Maker's Formula

$$\frac{1}{f} = (n - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right)$$

Relates the focal length of a lens to the refractive index of its material and the radii of curvature of its surfaces.

📖 Physics 📚 Ray Optics

Boyle's Law

$$P_1V_1 = P_2V_2$$

States that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature.

📖 Chemistry 📚 States of Matter

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