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Classical Mechanics

Range

The total horizontal distance traveled by a projectile from launch to landing at the same vertical height.

R = (v0² sin 2θ) / g m
Optics

Rayleigh Criterion

The condition for two point sources to be barely resolved by an optical instrument, stating that the central diffraction maximum of one…

θ_min = 1.22 λ / D rad (radians)
Optics

Rayleigh Scattering

The elastic scattering of light or electromagnetic radiation by particles much smaller than the light's wavelength.

I_scattered ∝ 1 / λ⁴ W/m²
Electromagnetism & Electronics

RC Circuit & Time Constant

An electrical circuit composed of resistors and capacitors driven by a voltage source, characterized by its exponential charging and…

V(t) = V₀ e^(-t / τ), τ = R C s (Seconds)
Optics

Real Image

An optical image formed by actual convergence of light rays, which can be projected onto a physical screen.

v > 0 (for real image), m < 0 (inverted) m
Condensed Matter & Materials Physics

Reciprocal Lattice

The Fourier transform space of a real-space crystal lattice, where every point corresponds to a set of parallel lattice planes in the real…

b₁ = 2π (a₂ × a₃) / (a₁ · (a₂ × a₃)), G · R = 2π n m⁻¹ (Reciprocal Distance)
Astrophysics, Cosmology & Relativity

Red Giant

A large, luminous star in a late evolutionary stage that has exhausted core hydrogen fuel and expanded its outer envelope.

Radius R ~ 10–100 R_☉, T_surface ~ 3,000–4,500 K Solar Radii (R_☉) & Kelvin
Optics

Reflection

The bouncing back of a light ray or wave when it strikes a boundary surface between two different media without entering the second medium.

θ_i = θ_r Degrees (°)
Optics

Refraction

The bending of a light ray as it passes obliquely from one transparent medium into another with a different refractive index.

n1 sin θ1 = n2 sin θ2 (Snell's Law) Dimensionless (n)
Thermodynamics & Statistical Physics

Refrigerator / Heat Pump

A thermodynamic device operating in reverse that consumes mechanical work to extract heat from a cold region and reject it into a warmer…

COP_ref = Q_cold / W, COP_hp = Q_hot / W Dimensionless (Coefficient of Performance)
Biophysics & Medical Physics

Relative Biological Effectiveness (RBE)

The ratio of absorbed dose of a reference 250 kVp X-ray beam to the absorbed dose of a test radiation type required to produce an identical…

RBE = D_reference (250 kVp X-rays) / D_test (for equal biological effect) Dimensionless Ratio
Geophysics & Environmental Physics

Relative Humidity

The ratio of the actual vapor pressure of water in an air parcel to the saturation vapor pressure at the same temperature, expressed as a…

RH = (e / e_s(T)) × 100% Percentage (%)
Astrophysics, Cosmology & Relativity

Relativistic Kinetic Energy

The work required to accelerate a massive particle from rest to a relativistic velocity v.

E_k = (γ - 1) m₀ c² = E_total - m₀ c² Joules or MeV / GeV
Astrophysics, Cosmology & Relativity

Relativistic Momentum

The linear momentum of an object moving at relativistic speeds, scaled by the Lorentz factor γ.

p = γ m₀ v = m₀ v / √(1 - v²/c²) kg·m/s or GeV/c
Plasma Physics

Relativistic Plasma

A high-energy density plasma where thermal electron energies approach or exceed rest mass energy (511 keV), requiring relativistic plasma…

k_B T_e ≳ m_e c² ≈ 511 keV, γ_e ≫ 1 keV or MeV (Thermal Energy)
Astrophysics, Cosmology & Relativity

Relativistic Time Dilation

The phenomenon where time passes slower for a clock in relative motion compared to a stationary observer's reference clock.

Δt = γ Δt₀ = Δt₀ / √(1 - v²/c²) Seconds (Time Interval)
Geophysics & Environmental Physics

Remote Sensing in Geophysics

The acquisition of geophysical information about Earth's surface and atmosphere from a distance using satellite or airborne sensors.

NDVI = (NIR - Red) / (NIR + Red) Multi-Spectral Satellite Imagery
Nuclear & Particle Physics

Renormalization

A mathematical technique in quantum field theory used to handle divergent infinite loop integrals by re-expressing parameters in terms of…

m_obs = m_bare + δm, e_obs = e_bare + δe Theoretical Technique
Foundations of Physics

Reproducibility

The requirement that an experimental finding can be independently duplicated by other researchers using the same procedures.

N/A
Optics

Resolving Power

The ability of an optical instrument or grating to separate and distinguish two closely spaced point objects or adjacent spectral…

R = λ / Δλ = N m (Grating), RP = 1 / Δθ Dimensionless
Waves, Oscillations & Acoustics

Resonance

The phenomenon where an oscillating system driven at its natural frequency absorbs maximum energy, resulting in large-amplitude vibrations.

f_driven = f_natural = (1 / 2π) √(k / m) Hz
Classical Mechanics

Restoring Force

A force that acts to bring a body back toward its stable equilibrium position whenever it is displaced.

F = -k x N
Foundations of Physics

Resultant Vector

The single combined vector that produces the exact same net physical effect as two or more individual vectors acting simultaneously.

R = A + B = √(A² + B² + 2AB cos θ) Various
Waves, Oscillations & Acoustics

Reverberation

The persistence of sound in an enclosed space caused by multiple continuous reflections from room boundaries after the original source…

RT60 = 0.161 V / A (Sabine's Formula) s