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: , 2

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

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