Let A be the last two digits of your 8-digit student ID. Example: for 20245347, A = 47 Radio waves, from your favorite radio station has a frequency of (A + 88.3) MHz (megahertz). What is the corresponding wavelength for this frequency in meters?

Question

Chemistry

Theodore Monroe

27 April, 19:18

Let A be the last two digits of your 8-digit student ID. Example: for 20245347, A = 47 Radio waves, from your favorite radio station has a frequency of (A + 88.3) MHz (megahertz). What is the corresponding wavelength for this frequency in meters?

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Answers (1)

Know the Answer?

Collier · Answer 1

2.22 m

Explanation:

Step 1:

Data obtained from the question:

Frequency = (A + 88.3) MHz

We assume that the student ID is 20245347 as given in the question.

Therefore, A = 47 (last two digit of the 8-digit student ID)

Frequency = (47 + 88.3) MHz

Frequency = 135.3 MHz = 135.3x10^6 Hz

Wavelength = ?

Recall:

Velocity of electromagnetic wave is 3x10^8 m/s2

Step 2:

Determination of the wavelength of the radio wave. This is illustrated below:

Velocity = wavelength x frequency

Wavelength = Velocity / frequency

Wavelength = 3x10^8 / 135.3x10^6

Wavelength = 2.22 m