An electron, a proton, an ∝-particle and a hydrogen atom are movi… - Vidyadip

MCQ

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

✓
electron
B
proton
C
$\propto$-particle
D
hydrogen atom

✓

Answer

Correct option: A.

electron

(a) electron
Explanation: $\lambda=\frac{h}{\sqrt{2 m E_k}}$
$\therefore \quad$ The one with the smallest mass will have the longest de Broglie wavelength.
Since the electron has the smallest mass compared to the proton, a-particle, and hydrogen atom, the de Broglie wavelength will be the longest for the electron

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