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Explain what you understand by the de Broglie wavelength of an electron. Will an electron at rest have an associated de Broglie wavelength? Justify your answer. - Physics

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प्रश्न

Explain what you understand by the de Broglie wavelength of an electron. Will an electron at rest have an associated de Broglie wavelength? Justify your answer.

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उत्तर

An electron exhibits wave nature under certain conditions. Matter waves, de Broglie waves, and Schrodinger waves are all names for waves associated with a moving electron. The de Broglie wavelength of these matter waves is given by λ = h/p, where h is Planck's constant, and p is the magnitude of the electron's momentum.

When an electron is at rest, its momentum is zero, and the corresponding de Broglie wavelength is infinite, indicating that there is no matter wave. This, however, is not possible according to quantum mechanics/wave mechanics.
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De Broglie Hypothesis
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अध्याय 14: Dual Nature of Radiation and Matter - Exercises [पृष्ठ ३२२]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
अध्याय 14 Dual Nature of Radiation and Matter
Exercises | Q 5 | पृष्ठ ३२२

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