According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron () and momentum of electron (p)?

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Solution

Q.
According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron ( $λ$ ) and momentum of electron (p) [2024]

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Ans.
(1)

According to de-Broglie hypothesis, wavelength ( $λ$ ) of a particle is related to its momentum (p) as:

$λ = \frac{h}{p}$ or $λ p = h$

Where $h$ is a constant called planck's constant.

Graph of $λ$ $v / s$ $p$ with $λ p$ = constant is a rectangular hyperbola.

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