   Chapter 6, Problem 1PS

Chapter
Section
Textbook Problem

Answer the following questions based on Figure 6.2: (a) Which type of radiation involves less energy, x-rays or microwaves? (b) Which radiation has the higher frequency, radar or red light? (c) Which radiation has the longer wavelength, ultraviolet or infrared light?

(a)

Interpretation Introduction

Interpretation: The radiation having lower energy among microwave and x-rays has to be determined.

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• X-ray radiation lies between 0.01nm to 10nm whereas microwave radiation is in between 30cm and 1mm.
• 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.

Microwave has the lower energy.

Explanation

X-ray radiation lies between 0.01nm to 10nm whereas microwave radiation is in between 30cm and 1mm.

E=hcλ so the energy increases as the wavelength of the light decrease. So the radiation having lower wavelength has higher energy per photon.

Here microwave is having higher wavelength than X-rays. Therefore microwave has the lower energy than x-rays.

(b)

Interpretation Introduction

Interpretation: The radiation having higher frequency among radar and red light has to be determined.

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• The red light lies in the visible light where it is between 400nm and 700nm. The radar lies in the radio waves which covers between 1mm and 100km.
• 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.

Red light has higher frequency

Explanation

The red light lies in the visible light where it is between 400nm and 700nm. The radar lies in the radio waves which covers between 1mm and 100km.

According to the relation between wavelength and frequency,ν=cλ the frequency of the radiation is inversely proportional to its wavelength.

The radiation that has least wavelength has the higher frequency. Comparing to radar light, red light has higher frequency due to its low wavelength.

(c)

Interpretation Introduction

Interpretation: The radiation having longer among ultraviolet and infrared light has to be determined.

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• Ultraviolet radiation lies between 200nm and 400nm whereas infrared radiation is in between 700nm and 1mm.

Infrared radiation has longer wavelength

Explanation

Ultraviolet radiation lies between 200nm to 400nm whereas infrared radiation is in between 700nm and 1mm. This indicates that infrared radiation has longer wavelength than ultraviolet radiation.

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