Final answer:
The equation associated with Louis deBroglie's theory is λ = h/mv, representing the de Broglie wavelength of a particle, which is a fundamental concept in quantum mechanics, illustrating wave-particle duality. Option c
Step-by-step explanation:
The equation associated with Louis deBroglie's theory is λ = h/mv, where λ represents the de Broglie wavelength of a particle, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle. This concept introduces the wave-particle duality, which posits that particles can exhibit properties of both particles and waves.
De Broglie's equation was pivotal in the development of quantum mechanics, showing that not just light (as in photons) but all matter has wave-like properties, depending on their momentum.
To calculate the de Broglie wavelength, one must first ensure that the units are consistent, which often requires converting Planck's constant to the appropriate unit system, such as kg m²/s. This will enable the computation of the wavelength for any given particle with a known mass and velocity. Option c