Organic Chemistry
Organic Chemistry
6th Edition
ISBN: 9781936221349
Author: Marc Loudon, Jim Parise
Publisher: W. H. Freeman
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Chapter 12, Problem 12.1P
Interpretation Introduction

(a)

Interpretation:

The frequency of the infrared light is to be calculated.

Concept introduction:

Wavelength is the distance between the two crests or troughs of the wave. It is denoted by the symbol (λ). Frequency is defined as the number of waves passing through a point in unit time. It is denoted by the symbol (ν). Wavelength and frequency both are inversely proportional to each other.

Expert Solution
Check Mark

Answer to Problem 12.1P

The frequency of infrared light with λ=9×106 m is 3.3×1013 s1.

Explanation of Solution

Wavelength and frequency are related to each other by the formula shown below.

ν=cλ…(1)

Where,

c is the speed of light.

The value of the speed of light is 3×108 m/s.

The wavelength of infrared light is given λ=9×106 m.

Substitute the value of c and λ in the equation (1).

ν=cλ=3×108 m s19×106 m=0.33×1014 s13.3×1013 s1

The frequency of infrared light with λ=9×106 m is 3.3×1013 s1.

Conclusion

The frequency of infrared light with λ=9×106 m is calculated as 3.3×1013 s1.

Interpretation Introduction

(b)

Interpretation:

The frequency of the blue light is to be calculated.

Concept introduction:

Wavelength is the distance between the two crests or troughs of the wave. It is denoted by the symbol (λ). Frequency is defined as the number of waves passing through a point in a unit time. It is denoted by the symbol (ν) Wavelength and frequency both are inversely proportional to each other.

Expert Solution
Check Mark

Answer to Problem 12.1P

The frequency of blue light with λ=4800 Aο is 6.3×1014 s1.

Explanation of Solution

Wavelength and frequency are related to each other by the formula shown below.

ν=cλ…(1)

Where,

c is the speed of light.

The value of the speed of light is 3×108 m/s.

The wavelength of blue light is given λ=4800 Aο.

Substitute the value of c and λ in the equation (1).

ν=cλ=3×108 m s14800 Aο…(2)

The conversion of 1 Aο into metres is done as shown below.

1 Aο=1×1010 m4800 Aο=4800×1010 m

Substitute the above equation in equation (2) as shown below.

ν=3×108 m s14800×1010 m=3×108 m s14.8×107 m=0.625×1015 s16.3×1014 s1

The frequency of blue light with λ=4800 Aο is 6.3×1014 s1.

Conclusion

The frequency of blue light with λ=4800 Aο is calculated as 6.3×1014 s1.

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