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Showing 24 of 258 formulas Page 9 of 11

RMS Speed of Gas Molecules

Physics β†’ Thermodynamics β†’ Kinetic Theory of Gases β†’ Molecular Speeds
$$v_{rms} = \sqrt{\frac{3RT}{M}}$$
The square root of the average of the squares of molecular speeds.
πŸ“– Physics πŸ“š Kinetic Theory of Gases

Law of Equipartition of Energy

Physics β†’ Thermodynamics β†’ Kinetic Theory of Gases β†’ Energy Distribution
$$E = \frac{1}{2} k_B T \text{ per degree of freedom}$$
Total energy is shared equally among all degrees of freedom.
πŸ“– Physics πŸ“š Kinetic Theory of Gases

Simple Harmonic Motion (Displacement)

Physics β†’ Oscillations β†’ Oscillations β†’ SHM
$$x = A \sin(\omega t + \phi)$$
Equation describing the position of a particle in SHM.
πŸ“– Physics πŸ“š Oscillations

Time Period of Spring-Mass System

Physics β†’ Oscillations β†’ Oscillations β†’ SHM Examples
$$T = 2\pi \sqrt{\frac{m}{k}}$$
Time period of a mass $m$ oscillating on a spring of constant $k$.
πŸ“– Physics πŸ“š Oscillations

Speed of Sound in Solids

Physics β†’ Waves β†’ Waves β†’ Sound Waves
$$v = \sqrt{\frac{Y}{\rho}}$$
Velocity of longitudinal waves in a long solid rod.
πŸ“– Physics πŸ“š Waves

Newton-Laplace Equation (Sound in Gas)

Physics β†’ Waves β†’ Waves β†’ Sound Waves
$$v = \sqrt{\frac{\gamma P}{\rho}}$$
Corrected speed of sound in a gas considering adiabatic conditions.
πŸ“– Physics πŸ“š Waves

Power (Instantaneous)

Physics β†’ Mechanics β†’ Work, Energy, and Power β†’ Power
$$P = \vec{F} \cdot \vec{v}$$
The rate of doing work expressed as the dot product of force and velocity.
πŸ“– Physics πŸ“š Work, Energy, and Power

Viscosity (Newton's Law)

Physics β†’ Properties of Matter β†’ Mechanical Properties of Fluids β†’ Viscosity
$$F = -\eta A \frac{dv}{dx}$$
Viscous force between fluid layers is proportional to area and velocity gradient.
πŸ“– Physics πŸ“š Mechanical Properties of Fluids

Pressure in a Fluid Column

Physics β†’ Properties of Matter β†’ Mechanical Properties of Fluids β†’ Hydrostatics
$$P = P_0 + \rho gh$$
Total pressure at a depth $h$ in a static fluid.
πŸ“– Physics πŸ“š Mechanical Properties of Fluids

Work Done in Stretching a Wire

Physics β†’ Properties of Matter β†’ Mechanical Properties of Solids β†’ Elasticity
$$W = \frac{1}{2} \times \text{Stress} \times \text{Strain} \times \text{Volume}$$
Energy stored in a wire when stretched within elastic limit.
πŸ“– Physics πŸ“š Mechanical Properties of Solids

Escape Velocity from Earth surface

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$v_e = \sqrt{2gR}$$
Minimum velocity required to escape Earth's gravity.
πŸ“– Physics πŸ“š Gravitation

Variation of g with Altitude

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$g_h = g\left(1 - \frac{2h}{R}\right)$$
How gravity decreases as you move above Earth's surface.
πŸ“– Physics πŸ“š Gravitation

Torricelli's Law (Efflux Speed)

Physics β†’ Properties of Matter β†’ Mechanical Properties of Fluids β†’ Fluid Dynamics
$$v = \sqrt{2gh}$$
Speed of efflux of liquid from an orifice.
πŸ“– Physics πŸ“š Mechanical Properties of Fluids

Mirror Formula

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Spherical Mirrors
$$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$$
Relates object distance, image distance, and focal length of a spherical mirror.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Magnification (Mirror)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Spherical Mirrors
$$m = \frac{h'}{h} = -\frac{v}{u}$$
The ratio of the height of the image to the height of the object.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Refractive Index (Speed of Light)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Refraction
$$n = \frac{c}{v}$$
Ratio of the speed of light in vacuum to the speed of light in a specific medium.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Electric Current

Physics β†’ Electricity β†’ Electricity β†’ Current
$$I = \frac{Q}{t}$$
The rate of flow of electric charge through a conductor.
πŸ“– Physics πŸ“š Electricity

Potential Difference

Physics β†’ Electricity β†’ Electricity β†’ Potential
$$V = \frac{W}{Q}$$
Work done to move a unit charge from one point to another.
πŸ“– Physics πŸ“š Electricity

Resistivity

Physics β†’ Electricity β†’ Electricity β†’ Resistance
$$R = \rho \frac{l}{A}$$
Resistance depends on the material, length, and area of the conductor.
πŸ“– Physics πŸ“š Electricity

Joule's Law of Heating

Physics β†’ Electricity β†’ Electricity β†’ Heating Effect
$$H = I^2Rt$$
Heat produced in a resistor is proportional to square of current, resistance, and time.
πŸ“– Physics πŸ“š Electricity

Electrical Energy

Physics β†’ Electricity β†’ Electricity β†’ Energy Consumption
$$E = P \times t$$
Total energy used over a period of time.
πŸ“– Physics πŸ“š Electricity

Speed

Physics β†’ Mechanics β†’ Motion β†’ Kinematics
$$v = \frac{s}{t}$$
Rate of change of distance.
πŸ“– Physics πŸ“š Motion

Acceleration

Physics β†’ Mechanics β†’ Motion β†’ Kinematics
$$a = \frac{v - u}{t}$$
Rate of change of velocity with respect to time.
πŸ“– Physics πŸ“š Motion

Weight

Physics β†’ Mechanics β†’ Gravitation β†’ Gravity
$$W = mg$$
Force with which Earth attracts an object.
πŸ“– Physics πŸ“š Gravitation
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