Can we calculate the frequency of a particle wave using the formula f=speed/wavelength if we know the speed of the particle and the wavelength associated
Answers
Answer:
The relationship between the speed of sound, its frequency, and wavelength is the same as for all waves: 14.1 v = f λ , v = f λ , where v is the speed of sound (in units of m/s), f is its frequency (in units of hertz), and λ is its wavelength (in units of meters).
Answer:
Photons are the particles of light. Matter is made of atoms, and atoms are made protons, neutrons and electrons. These are not macroscopic particles. Typical atomic dimensions are on the order of 10-10 m, nuclear dimensions are on the order of 10-15 m, and the electron seems to be a point particle with no size at all. How do these particles behave?
If a wave equation describes the behavior of photons, maybe a wave equation also describes the behavior of other microscopic particles.
In 1924, Luis deBroglie (Nobel Prize in Physics in 1929) proposed that a wave function is associated with all particles. Where this wave function has nonzero amplitude, we are likely to find the particle. The standard interpretation is that the intensity of the wave function of a particle at any point is proportional to the probability of finding the particle at that point. The wavelengths of the harmonic waves used to build the wave function let us calculate the most likely momentum of the particle and the uncertainty in the momentum. The wave function for a material particle is often called a matter wave.
The relationship between momentum and wavelength for matter waves is given by p = h/λ, and the relationship energy and frequency is E = hf. The wavelength λ = h/p is called the de Broglie wavelength, and the relations λ = h/p and f = E/h are called the de Broglie relations. These are the same relations we have for the photon, but for particle E = (1/2)mv2 = p2/(2m), so E = ћ2k2/(2m), λ = h/√(2mE). The relationship between λ and E is different for particles than for photons.
A spread in wavelengths means an uncertainty in the momentum. The uncertainty principle also holds for material particles. The minimum value for the product ∆x ∆p is on the order of ħ.