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 0.01 nm to 10 nm whereas microwave radiation is in between 30 cm and 1 mm . Planck’s equation, E = hν where, E = energy h = Planck's constant ν = frequency The energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

BuyFind

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
BuyFind

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Solutions

Chapter 6, Problem 1PS

(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.

Expert Solution

Answer to Problem 1PS

Microwave has the lower energy.

Explanation of Solution

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.

Expert Solution

Answer to Problem 1PS

Red light has higher frequency

Explanation of Solution

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.

Expert Solution

Answer to Problem 1PS

Infrared radiation has longer wavelength

Explanation of Solution

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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