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An FM radio station found at 97.5 on the FM dial broadcasts at a frequency of 97.5 MHz (Megahertz). What is the wavelength of these radio waves in meters?

Answer :

Final answer:

The wavelength of FM radio waves broadcasting at 97.5 MHz is approximately 3.08 meters, calculated using the formula λ = c/f.

Explanation:

The wavelength of radio waves can be calculated using the formula λ = c/f, where λ is the wavelength in meters, c is the speed of light (approximately 3 × 108 meters per second), and f is the frequency in hertz (Hz). In this case, the FM radio station broadcasts at a frequency of 97.5 MHz. Since 1 MHz is 1 million hertz, we have 97.5 MHz = 97.5 × 106 Hz.

Substituting the values into the formula, we get:

λ = (3 × 108) / (97.5 × 106)

= 3 / 97.5 meters

After calculation, the wavelength, λ, is approximately 3.08 meters.

Therefore, the wavelength of FM radio waves broadcasting at 97.5 MHz is approximately 3.08 meters.

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