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------------------------------------------------ A radio station is sending out a radio wave with a frequency of 100.5 MHz at a velocity of [tex]3 \times 10^8 \, \text{m/s}[/tex].

At what wavelength is the radio station broadcasting?

Answer :

Wavelength = velocity / frequency = 3 x 10^8 / 100.5 x 10^6 = 2.99 m

Final answer:

The radio station with a frequency of 100.5MHz and wave velocity of 3 × 108 m/s is broadcasting at a wavelength of approximately 2.985 meters.

Explanation:

The radio station is broadcasting at a frequency of 100.5MHz, which is equivalent to 100.5 × 106 Hz, and the velocity of the radio waves is given as 3 × 108 m/s. To find the wavelength of the radio waves, we use the formula:

λ = v/f

Where λ is the wavelength, v is the velocity, and f is the frequency. Plugging in the values, we get:

λ = (3 × 108 m/s) / (100.5 × 106 Hz)

λ = 2.985 m

Therefore, the radio station is broadcasting at a wavelength of approximately 2.985 meters.

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