de broglie wavelength

Question

de Broglie wavelength λ of particle momentum p is?

RankGuru · Accepted Answer

1. **De Broglie Hypothesis**: Louis de Broglie proposed that matter, like light, exhibits wave-particle duality. For every moving particle, there is an associated wave (matter wave).
2. **Wavelength Formula**: The wavelength ($\lambda$) associated with a particle of mass $m$ and velocity $v$ is:
   $\lambda = \frac{h}{p} = \frac{h}{mv}$
3. **Momentum ($p$)**: Here $p = mv$ is the linear momentum of the particle.
4. **Scale**: For macroscopic objects, $h$ is so small that the wavelength is undetectable. For subatomic particles, it becomes significant.

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