Chapter 7, Problem 7.17QP

(a)

Interpretation Introduction

Interpretation:

The wavelength has to be calculated from the given frequency.  And the frequency is within visible region or not has to be identified.

Concept introduction:

The mathematical equation of various characteristics of light wave is

$\text{c = νλ}$

C is speed of light ($\text{3}{\text{.00 × 10}}^{\text{8}}\text{ m/s}$).

$\text{ν}$ 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

(b)

Interpretation Introduction

Interpretation:

The energy of light whose frequency $\text{ν}\text{=}\text{6}\text{.0}\text{×}{\text{10}}^{\text{4}}\text{Hz}$ has to be calculated.

Concept introduction:

The mathematical equation of various characteristics of light wave is

$\text{c = νλ}$

C is speed of light ($\text{3}{\text{.00 × 10}}^{\text{8}}\text{ m/s}$).

$\text{ν}$ 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

(c)

Interpretation Introduction

Interpretation:

The energy of one mole of all photons whose frequency $\text{ν}\text{=}\text{6}\text{.0}\text{×}{\text{10}}^{\text{4}}\text{Hz}$ has to be calculated.

Concept introduction:

The mathematical equation of various characteristics of light wave is

$\text{c = νλ}$

C is speed of light ($\text{3}{\text{.00 × 10}}^{\text{8}}\text{ m/s}$).

$\text{ν}$ 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