   Chapter 6.1, Problem 6.1CYU

Chapter
Section
Textbook Problem

(a) Which color in the visible spectrum has the highest frequency? Which has the lowest frequency? (b) Is the wavelength of the radiation used in a microwave oven (2.45 GHz) longer or shorter than that from your favorite FM radio station (for example, 91.7 MHz)? (c) Are the wavelengths of x-rays longer or shorter than those of ultraviolet light? (d) Calculate the frequency of green light with a wavelength of 510. nm.

(a)

Interpretation Introduction

Interpretation: The colour in visible light having highest and lowest frequency 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.
• Violet colour has the lowest wavelength between 390nm to 455nm and red colour has the highest wavelength between 622nm and 780nm
• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

Explanation

According to the relation between wavelength and frequency, ν=cλ the frequency of the radiation is inversely proportional to its wavelength. The colour that has least wavelength has the higher frequency.

Violet colour has the lowest wavelength between 390 </

(b)

Interpretation Introduction

Interpretation: The wavelength of microwave radiation is whether longer or shorter than radiation from FM radio station 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 wavelength of x-ray radiation is around 0.01nm to 10nm whereas the wavelength of ultraviolet radiation is between 100nm and 400nm.
• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

(c)

Interpretation Introduction

Interpretation: The wavelength of x-ray radiation is whether longer or shorter than ultraviolet 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 wavelength of x-ray radiation is around 0.01nm to 10nm whereas the wavelength of ultraviolet radiation is between 100nm and 400nm.

(d)

Interpretation Introduction

Interpretation: The frequency of green light with wavelength 510 nm has to be determined

Concept introduction:

• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

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