Chapter 7, Problem 7.38QP

(a)

Interpretation Introduction

Interpretation:

The wavelength of hydrogen atom and helium atom has to be determined when they are travelling at same velocity.

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.

(b)

Interpretation Introduction

Interpretation:

The wavelength of hydrogen atom and helium atom has to be determined when they have same kinetic energy.