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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.

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Question

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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Solution

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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Chapter 14: Dual Nature of Radiation and Matter - Exercises [Page 322]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 14 Dual Nature of Radiation and Matter
Exercises | Q 5 | Page 322

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