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842 terms · page 28 of 36
Range
Classical Mechanics
m
The total horizontal distance traveled by a projectile from launch to landing at the same vertical height.
R = (v0² sin 2θ) / g
Rayleigh Criterion
Optics
rad (radians)
The condition for two point sources to be barely resolved by an optical instrument, stating that the central diffraction maximum of one image coincides with the first minimum of the other.
θ_min = 1.22 λ / D
Rayleigh Scattering
Optics
W/m²
The elastic scattering of light or electromagnetic radiation by particles much smaller than the light's wavelength.
I_scattered ∝ 1 / λ⁴
RC Circuit & Time Constant
Electromagnetism & Electronics
s (Seconds)
An electrical circuit composed of resistors and capacitors driven by a voltage source, characterized by its exponential charging and discharging time constant τ.
V(t) = V₀ e^(-t / τ), τ = R C
Real Image
Optics
m
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)
Reciprocal Lattice
Condensed Matter & Materials Physics
m⁻¹ (Reciprocal Distance)
The Fourier transform space of a real-space crystal lattice, where every point corresponds to a set of parallel lattice planes in the real crystal.
b₁ = 2π (a₂ × a₃) / (a₁ · (a₂ × a₃)), G · R = 2π n
Red Giant
Astrophysics, Cosmology & Relativity
Solar Radii (R_☉) & Kelvin
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
Reflection
Optics
Degrees (°)
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
Refraction
Optics
Dimensionless (n)
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)
Refrigerator / Heat Pump
Thermodynamics & Statistical Physics
Dimensionless (Coefficient of Performance)
A thermodynamic device operating in reverse that consumes mechanical work to extract heat from a cold region and reject it into a warmer region.
COP_ref = Q_cold / W, COP_hp = Q_hot / W
Relative Biological Effectiveness (RBE)
Biophysics & Medical Physics
Dimensionless Ratio
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 biological effect.
RBE = D_reference (250 kVp X-rays) / D_test (for equal biological effect)
Relative Humidity
Geophysics & Environmental Physics
Percentage (%)
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 percentage.
RH = (e / e_s(T)) × 100%
Relativistic Kinetic Energy
Astrophysics, Cosmology & Relativity
Joules or MeV / GeV
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
Relativistic Momentum
Astrophysics, Cosmology & Relativity
kg·m/s or GeV/c
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)
Relativistic Plasma
Plasma Physics
keV or MeV (Thermal Energy)
A high-energy density plasma where thermal electron energies approach or exceed rest mass energy (511 keV), requiring relativistic plasma dynamics.
k_B T_e ≳ m_e c² ≈ 511 keV, γ_e ≫ 1
Relativistic Time Dilation
Astrophysics, Cosmology & Relativity
Seconds (Time Interval)
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)
Remote Sensing in Geophysics
Geophysics & Environmental Physics
Multi-Spectral Satellite Imagery
The acquisition of geophysical information about Earth's surface and atmosphere from a distance using satellite or airborne sensors.
NDVI = (NIR - Red) / (NIR + Red)
Renormalization
Nuclear & Particle Physics
Theoretical Technique
A mathematical technique in quantum field theory used to handle divergent infinite loop integrals by re-expressing parameters in terms of observed physical values.
m_obs = m_bare + δm, e_obs = e_bare + δe
Reproducibility
Foundations of Physics
N/A
The requirement that an experimental finding can be independently duplicated by other researchers using the same procedures.
Resolving Power
Optics
Dimensionless
The ability of an optical instrument or grating to separate and distinguish two closely spaced point objects or adjacent spectral wavelengths.
R = λ / Δλ = N m (Grating), RP = 1 / Δθ
Resonance
Waves, Oscillations & Acoustics
Hz
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)
Restoring Force
Classical Mechanics
N
A force that acts to bring a body back toward its stable equilibrium position whenever it is displaced.
F = -k x
Resultant Vector
Foundations of Physics
Various
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)
Reverberation
Waves, Oscillations & Acoustics
s
The persistence of sound in an enclosed space caused by multiple continuous reflections from room boundaries after the original source stops.
RT60 = 0.161 V / A (Sabine's Formula)