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?

Explanation

Microwave freqeuncy used in telephone link
`=10GHz=10xx10^(9)Hz=10^(10)Hz`
Frequency available for microwave communication
`2%` of 10 GHz `=(2)/(100)xx10^(10)=2xx10^(8)Hz`
Bank width of each telephone channel =8 kHz
`=8xx10^(3)` Hz
Number of microwave telephone channels
`=(2xx10^(8))/(8xx10^(3))=2.5xx10^(4)=2.5xx10^(a)`
`therefore a =4`