Chapter 8, Problem 8.99P

(a)

Interpretation Introduction

Interpretation:

The longest wavelength of electromagnetic radiation that can ionize an alkali metal atom is to be calculated.

Concept introduction:

Electromagnetic waves are radiations that are formed by oscillating electric and magnetic fields. The electric and magnetic field components of an electromagnetic wave are perpendicular to each other.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

  $E=h\nu$

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

The equation to relate the frequency and wavelength of electromagnetic radiation is as follows:

  $\nu =\frac{c}{\lambda }$

The equation to calculate the energy of a photon is,

  $E=h\frac{c}{\lambda }$        (1)

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

(b)

Interpretation Introduction

Interpretation:

The longest wavelength of electromagnetic radiation that can ionize an alkaline earth metal atom is to be calculated.

Concept introduction:

Electromagnetic waves are radiations that are formed by oscillating electric and magnetic fields. The electric and magnetic field components of an electromagnetic wave are perpendicular to each other.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

  $E=h\nu$

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

The equation to relate the frequency and wavelength of electromagnetic radiation is as follows:

  $\nu =\frac{c}{\lambda }$

The equation to calculate the energy of a photon is as follows:

  $E=h\frac{c}{\lambda }$        (1)

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

(c)

Interpretation Introduction

Interpretation:

The elements, other than alkali and alkaline earth metals that can be ionized by the radiation in part (b) are to be determined.

Concept introduction:

Electromagnetic waves are radiations that are formed by oscillating electric and magnetic fields. The electric and magnetic field components of an electromagnetic wave are perpendicular to each other.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

  $E=h\nu$

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

The equation to relate the frequency and wavelength of electromagnetic radiation is as follows:

  $\nu =\frac{c}{\lambda }$

The equation to calculate the energy of a photon is as follows:

  $E=h\frac{c}{\lambda }$        (1)

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

(d)

Interpretation Introduction

Interpretation:

The region of the electromagnetic spectrum where the photons are found is to be determined.

Concept introduction:

Electromagnetic waves are radiations that are formed by oscillating electric and magnetic fields. The electric and magnetic field components of an electromagnetic wave are perpendicular to each other.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

  $E=h\nu$

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

The equation to relate the frequency and wavelength of electromagnetic radiation is as follows:

  $\nu =\frac{c}{\lambda }$

The equation to calculate the energy of a photon is as follows:

  $E=h\frac{c}{\lambda }$        (1)

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.