Chapter: Dual Nature of Radiation and Matter· Physics

An electron, a proton, an α-particle and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be the longest for ____.

Q.1 (v) An electron, a proton, an α-particle and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be the longest for ____.

A. electron

B. proton

C. α-particle

D. hydrogen atom

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Answer: A. electron

Answer: (a) electron

\(\lambda = \dfrac{h}{p} = \dfrac{h}{\sqrt{2mK}}\). For the same kinetic energy \(K\), \(\lambda \propto 1/\sqrt{m}\). The electron has the smallest mass, so its de Broglie wavelength is the longest.

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An electron, a proton, an α-particle and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be the longest for ____.

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