Question

Which relation gives the de Broglie wavelength of a particle of mass \[m\] moving with speed \[v\]?

Options

• \[\lambda=hmv\]

• \[\lambda=\frac{h}{m}v\]

• \[\lambda=\frac{mv}{h}\]

• \[\lambda=\frac{h}{mv}\]

Answer 1

For a material particle, momentum is \[p=mv\]. Substituting into \[\lambda=\frac{h}{p}\] gives \[\lambda=\frac{h}{mv}\].