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# Wave-Particle Duality

Wave-particle duality is the statement that all particles exhibit both wave and particle properties. Wave-particle duality is an ongoing problem in modern physics. Most physicists accept wave-particle duality as the best explanation for a broad range of observed phenomena’s without specific laws attributed to them, however it is very controversial.

Although wave-particle duality is intertwined with the rest of quantum mechanics it is possible to separate specific applications of wave-particle duality. It is used in electron microscopy, where the small wavelengths associated with the electrons can be used to view objects much smaller than what is visible using visible light. And neutron diffraction used neutrons with a wavelength of about 0.1nm, the typical spacing of atoms in a solid, to determine the structure of solids.

### Electron and Photon Wavelengths: Calculate the de Broglie wavelength of the electron

Part 1 An electron moving with a speed of 2.82E+6 m/s has the same momentum as a photon. Calculate the de Broglie wavelength of the electron. Part 2 Calculate the wavelength of the photon. -The answer for both is not: 2.44X10^-10 M

### Dissimilarities Between Planet and Atom Movement

The movement of particles in an atom has sometimes been qualitatively compared to the movement of planets in our solar system. Discuss two ways in which these two systems are not similar.

### de Broglie wavelength of the electron and ball

Part 1) Through what potential difference would an electron have to be accelerated from rest to give it a de Broglie wavelength of 1.2 × 10^ -10 m? The mass of an electron is 9.109 × 10^-31 kg and Planck's constant is 6.626 × 10 ^-34 J s Answer in Volts. Part 2) A ball has a mass of 0.303 kg just before it strikes the

### How much time is required for a particle of the string to move through a total distance of 1.0 km?

The speed of a transverse wave on a string is 450 m/s, and the wavelength is 0.18 m. The amplitude of the wave is 2.0 mm. How much time is required for a particle of the string to move through a total distance of 1.0 km?

### Diffraction of neutrons

3 part problem pertaining to neutrons being diffracted. A ray of neutrons, with mass = 1.67x10^-27 kg, energy (E), is incident on a linear chain of nuclei, each of size (beta) arranged in a straight line with regular spacing. (See attached file for full problem description)