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Thank you for visiting A local FM radio station broadcasts at a frequency of 99 8 MHz Calculate the wavelength at which it is broadcasting Wavelength meters Note 1. 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 local FM radio station broadcasts at a frequency of 99.8 MHz. Calculate the wavelength at which it is broadcasting.

Wavelength = _____ meters

(Note: 1 MHz = \(10^6\) s\(^{-1}\))

Answer :

Final answer:

The wavelength at which a local FM radio station broadcasts at a frequency of 99.8 MHz is 3.00 meters, calculated using the speed of light and the frequency of the broadcast.

Explanation:

To calculate the wavelength at which a local FM radio station broadcasts at a frequency of 99.8 MHz, we can use the formula c = λf where λ is the wavelength, f is the frequency, and c is the speed of light in a vacuum (approximately 3.00 × 108 m/s). Given that 1 MHz equals 106 s−1, we first convert the frequency from MHz to Hz by multiplying the given number by 106. Thus, the frequency in Hertz is 99.8 × 106 Hz. Next, rearrange the formula to solve for λ: λ = c / f. Plugging in the converted frequency and the speed of light, we get λ = 3.00 × 108 m/s / 99.8 × 106 Hz = 3.00 m. Therefore, the wavelength at which the radio station is broadcasting is 3.00 meters.

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