Chapter 7, Problem 7A.8E

(a)

Interpretation Introduction

Interpretation:

The linear momentum for photons of wavelength $\text{600}\text{nm}$ 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.

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

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.

(b)

Interpretation Introduction

Interpretation:

The linear momentum for photons of wavelength $\text{70}\text{pm}$ 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.

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

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.

(c)

Interpretation Introduction

Interpretation:

The linear momentum for photons of wavelength $\text{200}\text{m}$ 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.

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

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.