Question

MCQ 15.20 Denver, colorado has an oldies station that calls itself " kool 105" this means that they broadcast radio waves at a frequency of 105 MHz. Suppose that they decide to describe their station by its wave length in meters instead of by frequency, what name would they use now?

a Kool 0.35
b Kool 2.85
c Kool 3.5 D Kool 285

Answer 1

The wavelength of the radio waves would be approximately 2.857 meters. The formula employed is Speed = Frequency × Wavelength, with the aim of determining the wavelength of radio waves. So, the option b. Kool 2.85 is correct.

Step-by-step explanation:

In this scenario, the formula employed is Speed = Frequency × Wavelength, with the aim of determining the wavelength of radio waves.

Given a frequency of 105 MHz and the speed of light at approximately 300 million meters per second, the formula is rearranged to solve for wavelength: Wavelength = Speed / Frequency.

Substituting the provided values yields a wavelength of approximately 2.857 meters.

Consequently, if the radio station in Denver, Colorado, broadcasting at 105 MHz, opts to characterize itself by wavelength rather than frequency, it would be aptly named "Kool 2.85."

This playful reinterpretation highlights the interchangeable nature of wavelength and frequency in describing radio waves, showcasing how scientific concepts can be creatively applied in real-world contexts, such as naming radio stations based on their electromagnetic properties.

Therefore, the option b. Kool 2.85 is correct wavelength of the radio waves.