A microwave telephone link operating at the central frequency of 10GHz has been established if 2% of this is available for microwave communication channel. Then how many telephone channels can be simultaneously granted if each telephone is allotted a bandwidth of 8 KHz?

Options

A. `1.5xx10^(3)`
B. `3.5xx10^(2)`
C. `2.5xx10^(4)`
D. `4.5xx10^(6)`

Answer

C

Explanation

Microwave frequency used in telephone link
=10GHz `=10xx10^(9)Hz=10^(10)Hz`
Frequency available for microwave communication
`=2% "of" 10 GHz=(2)/(100)xx10^(8)Hz`
Bandwidth of each telephone channel
=8KHz=`8xx10^(3)Hz`
Number of microwave telephone channels
`=(2xx10^(8))/(8xx10^(3))=2.5xx10^(4)`