Question

A telephonic communication service is working at carrier frequency of $10 \,GHz$. Only $10\%$ of it is utilized for transmission. How many telephonic channels can be transmitted simultaneously if each channel requires a bandwidth of $5\, kHz$ ?

• A. $2 \times 10^3$
• B. $2 \times 10^4$
• C. $2 \times 10^5$
• D. $2 \times 10^6$

Answer 1

Answer: (C)

$2 \times 10^5$

Answer 2

Frequency of carrier $=10 \times 10^{9}\, Hz$
Available bandwidth $=10 \% \text { of } 10 \times 10^{9}\, Hz$
$=10^{9} \,Hz$
Bandwidth for each telephonic channel $=5\,, kHz$
$\therefore$ Number of channels$=\frac{10^{9}}{5 \times 10^{3}}$
$=2 \times 10^{5}$