In 1924, French physicist Louis de Broglie proposed a revolutionary idea: just as light exhibits both wave and particle properties (dual nature), all matter also exhibits both particle and wave properties. This concept is a cornerstone of quantum mechanics and is taught in Class 11 Chemistry (Structure of Atom) and Physics.
Principle: Dual nature of matter (all matter has wave-like properties).
Equation: λ = h / mv.
Planck's Constant (h): 6.626 × 10⁻³⁴ J·s.
Significance: Crucial for microscopic particles (electrons); negligible for large objects.
de Broglie derived a mathematical relationship between the momentum of a particle and its associated wavelength (called the matter wave).
The Equation: λ = h / p or λ = h / (mv)
Where:
The equation bridges the gap between the particle nature (mass 'm', velocity 'v') and the wave nature (wavelength 'λ').
The de Broglie wave equation is λ = h / mv. It states that the wavelength of a moving particle is equal to Planck's constant divided by its momentum.
According to de Broglie's equation, wavelength is inversely proportional to mass. A car has such a huge mass that its associated wavelength is infinitely small and completely unobservable.
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