Chapter 7, Problem 7A.7E

Interpretation Introduction

Interpretation:

The de Broglie wavelength of oneself travelling with speed of ${\text{8 km h}}^{\text{-1}}$ has to be calculated and also the wavelength at speed zero has to be identified.

Concept Introduction:

Louis de Broglie in $1923$ rationalized that when light shows particle aspects, then particles of matter display properties of waves under definite circumstances.

$\begin{array}{c}\text{λ}\text{=}\frac{\text{h}}{\text{m}\text{υ}}\\ \text{p = m}\text{υ}\\ \text{Hence λ}\text{=}\frac{\text{h}}{\text{p}}\end{array}$

h is Planck’s constant($\text{6}\text{.63}\text{×}{\text{10}}^{\text{-34}}\text{J}\text{.s}$) which relates energy and frequency.

$\text{υ}$ is the speed of particle.

m is the mass of particle.

$\text{λ}$ is the wavelength.

p is the momentum.

The above equation is called de Broglie relation.