Modern Physics 7 Question 30

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

(a) $2 \times 10^{6}$

(b) $2 \times 10^{3}$

(c) $2 \times 10^{4}$

(d) $2 \times 10^{5}$

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Solution:

  1. $N=\frac{1}{10} \cdot \frac{(10 kHz)}{(5 kHz)}=\frac{10^{9}}{5 \times 10^{3}}=\frac{10^{6}}{5}=2 \times 10^{5}$


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