Chapter 7, Problem 7.121QP

Interpretation Introduction

Interpretation:

The wavelength of electron when it is accelerated through potential variance of $4.00\times {10}^3\text{volts}$ has to be calculated.

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.

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

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.

The above equation is called de Broglie relation.

Relation between frequency and wavelength is,

$\text{C}\text{=}\text{λν}$

C is the speed of light.

$\text{ν}$ is the frequency.

$\text{λ}$ is wavelength.

$\text{E}\text{=}\text{hν}$

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

$\text{ν}$ is the frequency.

E is energy of light particle.

The distance between any two similar points of a wave is called wavelength

Figure 1

$\text{λ}$ is wavelength.

Frequency is defined as number of wavelengths of a wave that can pass through a point in one second.