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A microwave telephone link operating at ...

A microwave telephone link operating at the central frequency of 10 GHz has been established. If 2% of this is available for microwave communication channerl and each telephone is alloted a bank width of 8 KHz. the number of telephone channels which cn be simultaneously granted is `2.5xx10^(a)`. What is the integer value of a?

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The correct Answer is:
4
Microwave frequency used in telephone link
= 10 GHz `= 10xx10^9` Hz = `10^10` Hz
Frequency available for microwave communication
= 2% of 10 GHz `= 2/100 xx10^(10) = 2xx10^8` Hz
Band width of each telephone channel = 8 kHz
`= 8xx10^3` Hz
Number of microwave telephone channels
`=(2xx10^8)/(8xx10^3) =2.5 xx 10^4 = 2.5 xx 10^a " " :. a = 4`
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