# A telephonic communication service is working at carrier frequency of

Question:

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

1. $2 \times 10^{4}$

2. $2 \times 10^{5}$

3. $2 \times 10^{6}$

4. $2 \times 10^{3}$

Correct Option:

Solution:

Since the carrier frequency is distributed as band width frequency, so $10 \%$ of $10 \mathrm{GHz}=\mathrm{n} \times 5 \mathrm{kHz}$ where $\mathrm{n}=$ no of channels $\frac{10}{100} \times 10 \times 10^{9}=\mathrm{n} \times 5 \times 10^{3} \mathrm{n}=2 \times 10^{5}$ telephonic channels