# 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.

### Chemistry & Chemical Reactivity

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

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

Expert Solution

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 400 nm and 700 nm. The radar lies in the radio waves which covers between 1 mm and 100 km. Planck’s equation,    E = hν where, E = energyh = Planck's constantν = frequencyThe energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

Expert Solution

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

Expert Solution