

Fundamental Constants in Physics: Speed of Light, Planck's Constant, and Universal Values
Constants in physics represent fundamental invariant quantities that maintain consistent values throughout the universe, forming the backbone of physical theories and calculations. These universal constants, including the speed of light, Planck's constant, and elementary charge, serve as reference standards for defining physical relationships and establishing precise measurements in scientific research and practical applications.
Understanding Physical Constants and Their Significance
Physical constants are numerical values that remain unchanged across all experimental conditions and locations in the universe. These fundamental quantities establish the foundation for all physical laws and enable scientists to make precise calculations. For Class 12 physics problems, understanding these constants becomes crucial for solving complex equations and deriving relationships between different physical quantities.
The importance of constants in physics and chemistry lies in their role as universal benchmarks. Unlike variable quantities such as velocity or temperature, these constants provide stability to physical equations and allow for reproducible experimental results worldwide.
Fundamental Physical Constants and Their Values
The most essential constants in physics include several key quantities that appear repeatedly in theoretical formulations and practical calculations. These fundamental constants form the basis for defining units and establishing physical relationships.
Constant | Symbol | Value | Units |
---|---|---|---|
Speed of light in vacuum | c | 2.998 × 10⁸ | m/s |
Planck's constant | h | 6.626 × 10⁻³⁴ | J·s |
Elementary charge | e | 1.602 × 10⁻¹⁹ | C |
Gravitational constant | G | 6.674 × 10⁻¹¹ | N·m²/kg² |
Electric permittivity | ε₀ | 8.854 × 10⁻¹² | F/m |
These constants serve as the foundation for numerous physical laws. The speed of light appears in electromagnetic theory and relativity, while Planck's constant is fundamental to quantum mechanics.
Universal Constants in Different Physics Branches
Different areas of physics utilize specific constants that are particularly relevant to their theoretical frameworks. For example, quantum mechanics heavily relies on Planck's constant, while electromagnetic theory depends on the electric constant and magnetic permeability.
- Quantum Physics: Planck's constant ($h = 6.626 × 10^{-34}$ J·s)
- Electromagnetism: Electric permittivity ($ε_0 = 8.854 × 10^{-12}$ F/m)
- Thermodynamics: Boltzmann constant ($k_B = 1.381 × 10^{-23}$ J/K)
- Nuclear Physics: Mass of proton ($m_p = 1.673 × 10^{-27}$ kg)
Mathematical Formulas Involving Physical Constants
Physical constants appear in fundamental equations that describe natural phenomena. Understanding these formulas is essential for solving physics problems and deriving new relationships.
Einstein's Mass-Energy Relation: The most famous equation in physics demonstrates how constants connect different physical quantities:
where $E$ represents energy, $m$ is mass, and $c$ is the speed of light constant.
Coulomb's Law: The electrostatic force between charges involves the electric constant:
Planck's Energy Formula: Quantum energy depends on Planck's constant and frequency:
Derived Constants and Their Applications
Many useful constants derive from combinations of fundamental constants. These derived quantities often simplify calculations and provide insight into physical relationships.
- Fine Structure Constant: $α = \frac{e^2}{4\pi\varepsilon_0\hbar c} ≈ 1/137$
- Bohr Radius: $a_0 = \frac{4\pi\varepsilon_0\hbar^2}{me^2} = 0.529$ Å
- Stefan-Boltzmann Constant: $σ = \frac{2π^5k_B^4}{15h^3c^2}$
Constants in Physics Class 11 and Class 12 Curriculum
FAQs on Complete List of Physics Constants: Values, Definitions, and Applications
1. What are the fundamental constants in physics?
Fundamental constants in physics are universal values that remain unchanged throughout the universe and form the foundation of physical laws. These include: • Speed of light (c) = 3.0 × 10⁸ m/s • Planck's constant (h) = 6.626 × 10⁻³⁴ J·s • Gravitational constant (G) = 6.674 × 10⁻¹¹ N·m²/kg² • Elementary charge (e) = 1.602 × 10⁻¹⁹ C • Boltzmann constant (k) = 1.381 × 10⁻²³ J/K • Avogadro's number (Nₐ) = 6.022 × 10²³ mol⁻¹ • Permittivity of free space (ε₀) = 8.854 × 10⁻¹² F/m
2. Why are physical constants important in physics?
Physical constants are crucial because they define the fundamental structure of our universe and enable precise scientific calculations. Their importance includes: • Universal standards - They provide consistent reference points across all scientific measurements • Formula calculations - Essential for solving physics problems in mechanics, electromagnetics, and thermodynamics • Scientific research - Enable accurate predictions and experimental validations • Technology development - Form the basis for engineering applications and technological innovations • Unit definitions - Modern SI units are defined using these fundamental constants
3. What is the speed of light and why is it constant?
The speed of light in vacuum (c) is exactly 299,792,458 m/s or approximately 3.0 × 10⁸ m/s. Key facts about this universal constant: • Maximum speed limit - No information or matter can travel faster than light in vacuum • Electromagnetic waves - All electromagnetic radiation travels at this speed in vacuum • Relativity theory - Forms the foundation of Einstein's special theory of relativity • Time and space relationship - Links space and time dimensions in spacetime • Energy-mass equivalence - Appears in the famous equation E = mc²
4. What is Planck's constant and its significance?
Planck's constant (h) equals 6.626 × 10⁻³⁴ J·s and is the fundamental quantum of action in quantum mechanics. Its significance includes: • Quantum energy - Energy of photons: E = hf (where f is frequency) • Wave-particle duality - Connects particle and wave properties: λ = h/p • Uncertainty principle - Sets the limit for simultaneous measurement precision: Δx·Δp ≥ h/4π • Quantum mechanics foundation - Defines the scale at which quantum effects become significant • Atomic structure - Determines energy levels in atoms and molecules
5. What are dimensional and dimensionless constants?
Dimensional constants have physical units, while dimensionless constants are pure numbers without units. Examples include: Dimensional Constants: • Speed of light (c) - dimensions [LT⁻¹] • Gravitational constant (G) - dimensions [M⁻¹L³T⁻²] • Planck's constant (h) - dimensions [ML²T⁻¹] Dimensionless Constants: • Fine structure constant (α) ≈ 1/137 • π (pi) ≈ 3.14159 • Euler's number (e) ≈ 2.71828 These constants are universal and remain the same in any unit system.
6. What is the gravitational constant and its value?
The gravitational constant (G) equals 6.674 × 10⁻¹¹ N·m²/kg² and appears in Newton's universal law of gravitation. Key applications: • Newton's law: F = G(m₁m₂)/r² • Planetary motion - Determines orbital periods and trajectories • Gravitational field - Calculates field strength: g = GM/r² • Escape velocity - Minimum speed to escape gravitational pull: v = √(2GM/r) • Cosmological calculations - Essential for understanding stellar and galactic dynamics • Tidal forces - Explains ocean tides and gravitational effects

















