Question

A microwave telephone link operating at the central frequency of 10 GHz 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?

• A. 1.5 x 103
• B. 3.5 x 102
• C. 2.5 x 104
• D. 4.5 x 106

Answer 1

Answer: (C)

2.5 x 104

Answer 2

: Microwave frequency used in telephone link

$= 10GHz = 10 \times 10^{9}Hz = 10^{10}Hz$

Frequency available for microwave communication

$= 2\% of10GHz = \frac{2}{100} \times 10^{10} = 2 \times 10^{8}Hz$

Bandwidth of each telephone channel

$= 8KHz = 8 \times 10^{3}Hz$

Number of microwave telephone channels

$= \frac{2 \times 10^{8}}{8 \times 10^{3}} = 2.5 \times 10^{4}$