- #1
semc
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Hi guys, let's see f=1/λ right? E = hf so f=h/E ==> λ =E/h?? E=hc/λ ==> λ=E/hc? Which part did i get it mixed up?
For starters, your algebra: "E = hf so f=h/E " and "E=hc/λ ==> λ=E/hc? ". Also look up the universal wave equation: [itex]f \ne 1/\lambda[/itex]semc said:Hi guys, let's see f=1/λ right? E = hf so f=h/E ==> λ =E/h?? E=hc/λ ==> λ=E/hc? Which part did i get it mixed up?
De Broglie's equation relates the energy of a particle (E) to its frequency (f) and wavelength (λ). It also shows the relationship between energy and Planck's constant (h) and the speed of light (c). This equation is significant because it helped to establish the concept of wave-particle duality and contributed to the development of quantum mechanics.
De Broglie's equation suggests that particles, such as electrons, can exhibit both wave-like and particle-like behavior. This means that they have a wavelength, similar to a wave, but also possess mass and can be localized in space like a particle. This concept is known as wave-particle duality.
Planck's constant is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency. In De Broglie's equation, Planck's constant is used to relate the energy of a particle to its frequency and wavelength, further supporting the concept of wave-particle duality.
The uncertainty principle states that it is impossible to know both the exact position and momentum of a particle simultaneously. De Broglie's equation supports this principle by showing that the wavelength of a particle is inversely related to its momentum. Therefore, the more precisely we know the wavelength of a particle, the less we know about its momentum, and vice versa.
Yes, De Broglie's equation can be applied to all particles, regardless of their mass or speed. However, its effects are most noticeable for particles with very small masses, such as electrons, due to their high velocities and short wavelengths.