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Chapter 24: Q8PE (page 888)

A radio station utilizes frequencies between commercial AM and FM. What is the frequency of a 11.12-m-wavelength channel?

Short Answer

Expert verified

The frequencyof the 11.12 m wavelength channel is 26.98MHz .

Step by step solution

01

Definition of frequency

The number of waves that travel through a particular point in a given amount of time is referred to as frequency.

02

Given information and Formula to be used

The wavelength of the radiation is λ=11.12m

The speed of the light isc=3×108m/s

For an electromagnetic wave, the relationship between propagation speed (c), wavelength , and frequency (f) can be expressed as,

f=cλ…………….(1)

03

Calculate the frequency

Using the given data in equation (1), we have

We have

f=3×108m/s11.12m=2.698×108Hz1MHz106Hz=26.98MHz

Hence, the frequency is 26.98 MHz.

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