De Broglie Wavelength

Louis de Broglie hypothesized that all matter exhibits wave-like properties. The wavelength ( $λ$ ) associated with a particle of momentum $p$ is: $λ = \frac{h}{p}$ where $h$ is Planck's constant.

For a particle of mass $m$ and velocity $v$ , $p = m v$ , so $λ = \frac{h}{m v}$ .
This duality is only noticeable for microscopic particles like electrons due to the extremely small value of $h$ .

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

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De Broglie Wavelength

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

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

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

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

A cricket-style practice ball of mass $50 g$ is thrown so that it moves with a speed of $20...