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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25Question 1Amateur radio operators in the United States can transmit on several bands. One of those bands consists of radio waves with a wavelength near 40.m. Calculate the frequency of these radio waves.Be sure your answer has the correct number of significant digits.

Question

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25Question 1Amateur radio operators in the United States can transmit on several bands. One of those bands consists of radio waves with a wavelength near 40.m. Calculate the frequency of these radio waves.Be sure your answer has the correct number of significant digits.

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Solution

To calculate the frequency of the radio waves, we can use the formula for the speed of light, which is c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.

Given that the speed of light (c) is approximately 3.00 x 10^8 meters per second and the wavelength (λ) is 40 meters, we can rearrange the formula to solve for frequency (ν):

ν = c / λ

Substituting the given values:

ν = (3.00 x 10^8 m/s) / 40 m

ν = 7.5 x 10^6 Hz

So, the frequency of the radio waves is 7.5 x 10^6 Hz or 7.5 MHz.

This problem has been solved

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