   Chapter 6.2, Problem 6.2CYU

Chapter
Section
Textbook Problem

Calculate the energy per mole of photons for the laser used in Blu-ray players (λ = 405 nm)

Interpretation Introduction

Interpretation: The energy per mole of photons for the laser used in Blu-ray players is to be calculated.

Concept introduction:

• Planck’s equation,

E=where, E=energyh=Planck'sconstantν=frequency

The energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

Explanation

The energy per mole of photons for the laser used in Blu-ray players is calculated below.

Given,

The wavelength of light is 405 nm=4.05 ×107m.

The frequency per mole of photons is calculated by using the equation,

ν=cλ

Substituting the values

ν==2.998×108m/s4.05 ×107m=7.402×1014s1

The energy of photons is calculated by Planck’s equation

Energyperphoton=

Substituting the values

E==6

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