In addition to cable and satellite broadcasts, television stations still use VHF

Question

In addition to cable and satellite broadcasts, television stations still use VHF and UHF bands for digitally broadcasting their signals. Twelve VHF television channels (channels 2 through 13) lie in the range of frequencies between 54.0 MHz and 216 MHz. Each channel is assigned a width of 6.00 MHz, with the two ranges 72.0 — 76.0 MHz and 88.0 — 174 MHz reserved for non-TV purposes. (Channel 2, for example, lies between 54.0 and 60.0 MHz.)

(a) Calculate the broadcast wavelength range for channel 2. (Enter your answers from smallest to largest.)

___m

___m

(b) Calculate the broadcast wavelength range for channel 3. (Enter your answers from smallest to largest.)

___m

___m

(c) Calculate the broadcast wavelength range for channel 7. (Enter your answers from smallest to largest.)

___m

___m

Explanation / Answer

Wavelength = speed of light / frequency

(*note when counting the channel frequencys you skip: 72.0 — 76.0 MHz and 88.0 — 174 MHz reserved for non-TV purposes.)

Channel 2 is , so its 54 - 60 MHz

Channel 3 is , so its 60-66MHz

Channel 7 is 174-180 MHz

and the remaining Channels just increase by 6 MHz each.

*note when solving for wavelength be sure to convert MHz to Hz,   where 1 MHz = 10^6 Hz.

Furthermore the speed of light is roughly 3*10^8 m/s

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