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Thank you for visiting A poor university student is listening to Top 40 music on her FM radio tuned into a wavelength of 3 23 m Convert this wavelength. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A poor university student is listening to Top 40 music on her FM radio, tuned into a wavelength of 3.23 m. Convert this wavelength into a frequency in MHz. The speed of light is [tex]c = 3.00 \times 10^8 \, \text{m/s}[/tex].

a) 92.9 MHz
b) 97.8 MHz
c) 102.7 MHz
d) 107.5 MHz

Answer :

Final answer:

To convert a wavelength in meters to frequency in MHz, use the formula f = c / λ, where c is the speed of light. In this case, a wavelength of 3.23m corresponds to a frequency of 92.9 MHz. (Option A is the correct answer)

Explanation:

To convert a wavelength in meters to frequency in MHz, employ the formula f = c / λ, where c represents the speed of light. Given a wavelength of 3.23m, its corresponding frequency calculates to 92.9 MHz. This conversion utilizes the fundamental relationship c = fλ, where c denotes the speed of light at 3.00 × 10^8 m/s. Applying the formula λ = c / f, with λ as 3.23m and c as 3.00 × 10^8 m/s, yields the frequency f. Solving for f results in 92.9 MHz, aligning with option A as the correct answer. This process elucidates the wavelength-frequency relationship, crucial in electromagnetic wave analysis.

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