   Chapter 6, Problem 9PS

Chapter
Section
Textbook Problem

Place the following types of radiation in order of increasing energy per photon:(a) yellow light from a sodium lamp(b) X-rays from an instrument in a dentist’s office(c) microwaves in microwave oven(d) your favorite FM music station at 91.7 MHz

Interpretation Introduction

Interpretation: The increasing order of energy among the given types of radiation should 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.
• Wavelength of visible light lies between 400nm to 700nm
• The wavelength of X-ray radiation lies between 0.01nm to 10nm.
• The wavelength of microwave radiation is in between 30cm and 1mm.
• The wavelength of radio wave radiation is in 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.

Explanation

The wavelength of the given radiations is,

1. a) Yellow light from a sodium lamp: yellow light lies in the visible region where the wavelength is between 400nm to 700nm.
2. b) X-rays from an instrument in a dentist’s office: the wavelength of X-ray radiation lies between 0.01nm to 10nm.
3. c) Microwaves from a microwave oven: the wavelength of microwave radiation is in between 30cm and 1mm.
4. d) Your favorite FM music station at 91.7MHz: it lies in the radio waves where its wavelength is between 1mm and 100km

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