Electron Wavelength

The relationship between momentum ( $p$ ) and kinetic energy ( $K$ ) is: $p = 2 m K$ From de Broglie's formula: $λ = \frac{h}{p} = \frac{h}{2 m K}$ Therefore, $λ \propto \frac{1}{K}$ . If the kinetic energy of the electron increases by a factor of 4, its associated wavelength decreases by half.

This medium difficulty physics question is from the chapter dual nature of radiation and matter, covering the topic of electron wavelength. It appeared in the 2025 exam.

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Electron Wavelength

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A metal surface of work function $1.0 eV$ is illuminated separately by light of wavelength $...

In a photoelectric experiment the stopping potential rises from $0.50 V$ to $2.15 V$ ...

Inside a reactor a neutron of mass $1.67 \times 1 0^{- 27} kg$ has been slowed to thermal equili...

Identical electrons are accelerated from rest, one through a potential difference of $50 V$ ...

Green light of wavelength $5 \times 1 0^{- 7} m$ from a laser pointer is incident normally on a ...

Ultraviolet light of wavelength $400 nm$ illuminates a metal whose work function is $2.0\ \t...

Monochromatic radiation of wavelength $248 nm$ falls on a photosensitive cathode whose work ...