There are 12 VHF channels (channel 2-13) that lie in a frequency range from 54 M

Question

There are 12 VHF channels (channel 2-13) that lie in a frequency range from 54 MHz to 216 MHz. Each channel has a width of 6 MHz, with the two ranges 72-76 MHz and 88-174 MHz received for non-TV purposes.
(Channel 2, for example, lies between 54 and 60 MHz).

1.) Calculate the wavelength range for channel 2. The speed of light is 2.99792 × 108 m/s .

Answer in units of m.

2.) Calculate the wavelength range for channel 5.

Answer in units of m.

3.) Calculate the wavelength range for channel 11.

Answer in units of m.

Explanation / Answer

The frequency range is 54 MHz to 216 MHz ch2         54 MHz - 60 MHZ ch3         60 MHz - 66 MHZ ch4         66 MHz - 72 MHZ ch5         76 MHz - 82 MHZ ch6         82 MHz - 88 MHZ ch7         174 MHz - 180 MHZ ch8         180 MHz - 186 MHZ ch9         186 MHz - 192 MHZ ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch4         66 MHz - 72 MHZ ch5         76 MHz - 82 MHZ ch6         82 MHz - 88 MHZ ch7         174 MHz - 180 MHZ ch8         180 MHz - 186 MHZ ch9         186 MHz - 192 MHZ ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch5         76 MHz - 82 MHZ ch6         82 MHz - 88 MHZ ch7         174 MHz - 180 MHZ ch8         180 MHz - 186 MHZ ch9         186 MHz - 192 MHZ ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch6         82 MHz - 88 MHZ ch7         174 MHz - 180 MHZ ch8         180 MHz - 186 MHZ ch9         186 MHz - 192 MHZ ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch8         180 MHz - 186 MHZ ch9         186 MHz - 192 MHZ ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch9         186 MHz - 192 MHZ ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch10       192 MHz - 198 MHZ ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch11       198 MHz - 204 MHZ ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m ch12       204 MHz - 210 MHZ ch13       210 MHz - 216 MHZ 1) speed of light is c = 2.99792*108 m/s The frequency rabge of ch2 is 54 MHz - 60 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m min = (2.99792*108 m/s)/(60*106 HZ) min = 4.99 m max = c/fmin max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) max = (2.99792*108 m/s)/(54*106 HZ) max = 5.55 m The wavlength range is 4.99 m to 5.55 m 2) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 76 MHz - 82 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) min = (2.99792*108 m/s)/(82*106 HZ) min = 3.66 m max = c/fmin max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) max = (2.99792*108 m/s)/(76*106 HZ) max = 3.94 m The wavlength range is 3.66 m to 3.94 m 3) The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m The frequency rabge of ch5 is 198 MHz - 204 MHZ correponding wavelengths are min = c/fmax min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m min = (2.99792*108 m/s)/(204*106 HZ) min = 1.47 m max = c/fmin max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m max = (2.99792*108 m/s)/(198*106 HZ) max = 1.51 m The wavlength range is 1.47 m to 1.51 m

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