   Chapter 6.7, Problem 3.2ACP

Chapter
Section
Textbook Problem

Iron atoms absorb light at a frequency of 5.688 × 1014 s‒1. What is the wavelength of this light (in nm)?

Interpretation Introduction

Interpretation: The wavelength of the light absorbed by iron is to be calculated.

Concept introduction:

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

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

Explanation

The wavelength of the light absorbed by iron is calculated below.

Given,

The frequency of light is 5.688×1014s1.

The speed of light is c=2.998×108m/s.

The frequency of the light is,

ν=cλ

Therefore,

The wavelength of the light absorbed by iron is calculated by rearranging the above equation,

λ=cν

Substituting the values,

λ=2.998×108m/s5

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