Chapter 7, Problem 7.112QP

Interpretation Introduction

Interpretation:

From the given wavelength, an atom travelling at its root-mean-square velocity 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.

$\text{λ}\text{=}\frac{\text{h}}{\text{mv}}$

Where,

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

v is the speed of particle.

m is the mass of particle.

$\text{λ}$ is the wavelength.

The above equation is called de Broglie relation.