A) Canadian FM radio station (CLAW) broadcasts lobster information at 95.9 MHz. find the wavelength of this station. (B) What would be the frequency of a station for which the carrier wave was 400 m long?
freq*wavelength=speed of light
A) To find the wavelength of a radio station, you can use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
Given that the Canadian FM radio station (CLAW) broadcasts at 95.9 MHz, we need to convert the frequency from megahertz to hertz.
1 megahertz (MHz) = 1,000,000 hertz (Hz)
Therefore, the frequency is 95.9 MHz, which is equivalent to 95,900,000 Hz.
The speed of light (c) is approximately 3 x 10^8 meters per second (m/s).
Now, let's plug these values into the formula to find the wavelength:
λ = c / f
= 3 x 10^8 m/s / 95,900,000 Hz
Calculating this, we find:
λ = 3.125 meters (m)
Therefore, the wavelength of the Canadian FM radio station (CLAW) broadcasting at 95.9 MHz is approximately 3.125 meters.
B) To find the frequency of a station with a carrier wave that is 400 meters long, we can rearrange the formula:
Frequency (f) = Speed of Light (c) / Wavelength (λ)
Given that the wavelength is 400 meters, and the speed of light is still 3 x 10^8 m/s, we can now calculate the frequency:
f = c / λ
= 3 x 10^8 m/s / 400 m
Calculating this, we find:
f ≈ 7.5 x 10^5 Hz
Therefore, the frequency of a station with a carrier wave that is 400 meters long is approximately 750,000 Hz (or 750 kHz).
Note: In practice, radio stations are assigned specific frequency bands and may not have wavelengths or carrier waves that correspond directly to a specific length.