Question 1: Find the wavelength of an electron moving with a speed of ms-1. m_electron = 9.1e-31kg. If an electron has de Broglie wavelength $\lambda$, can I write it's kinetic energy $E = \frac{hc}{\lambda}$? please consider using MathJax for your equation, also your partial derivative of E is incorrect. where λ is wavelength in meters (m), h is Planck's constant in joule-seconds (6.63 × 10-34 Js) and p is momentum in kilogram-meters per second (kgm/s). Is Elastigirl's body shape her natural shape, or did she choose it? Is it too late for me to get into competitive chess? Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Kinetic energy of an electron with de Broglie wavelength $\lambda$, en.wikipedia.org/wiki/Matter_wave#de_Broglie_relations, “Question closed” notifications experiment results and graduation, MAINTENANCE WARNING: Possible downtime early morning Dec 2/4/9 UTC (8:30PM…. For what modules is the endomorphism ring a division ring? Note that for very large masses – meaning something on the scale of everyday objects, like a baseball or a car – this wavelength becomes vanishingly small. Setting the first two equations equal to one another under the assumption that particles and their wave forms would have equal energies: (where E is energy, m is mass and c is the speed of light in a vacuum, h is the Planck constant and f is frequency). Required fields are marked *. 3 Answers. Why is it easier to carry a person while spinning than not spinning? Why did mainframes have big conspicuous power-off buttons? Did genesis say the sky is made of water? The wavelength for a particle of momentum p is given by: λ = h/p. Thus, the wave nature of matter is most noticeable in quantum theory, for example when studying the behavior of electrons. The problem is that for an electron $\nu \ne c/\lambda$. Moreover, these resulting matter waves are central to a quantum mechanical understanding of the world – without them, scientists would not be able to describe nature on its smallest scale. 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