Discussion Forum

For a television network,  $5 \times 10^{5}$  channels are granted. If the central frequency of the microwave link is 25 GHz and the allotted bandwidth for each channel is 2KHz, then how much percentage of the link is used for the network?

Answer:

Explanation:

 Let x% of the link be used for network.

 Given , central frequency =25 GHz

 = $25 \times 10^{6} Hz$

 Bandwidth of channels = x% of 25 GHz

 = $\frac{x}{100} \times 25 \times 10^{9}=25 x \times 10^{7}$

 Number of channel= Total bandwidth/ Bandwidth needed per channel

 $5 \times 10^{5}=\frac{25 x \times 10^{7}}{2 \times 10^{3}}$

 $10 \times 10^{8}=25x \times 10^{7}$

 25x=100

$\Rightarrow$    x=4%