In addition to cable and satellite broadcasts, television stations still use VHF and UHF bands for digitally broadcasting their signals.

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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 4. (Enter your answers from smallest to largest.)
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 m

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

(c) Calculate the broadcast wavelength range for channel 8. (Enter your answers from smallest to largest.)
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 m

 

asked Mar 27, 2012 in Physics by awesome ~Expert~ (1,479 points)
    

1 Answer

+2 votes
 
Best 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 4 is unaffected by this, so its just 66 - 72 MHz

Channel 5 is affected, so its 76-82 MHz

Channel 6 is 82-88 MHz

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

 

answered Apr 1, 2012 by pokemonmaster ~Expert~ (3,856 points)
selected Apr 1, 2012 by awesome



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