1.

For a television network, 5 xx 10^(5) channels are granted. If the central frequency of the microwave link is 25 GHz and the alloted bandwidth for each channel is 2 KHz, then how much percentage of the link is used for the network ?

Answer»

`4%`
`10%`
`25%`
`5%`

Solution :Let `x%` of link is used for network. Given, central frequency = 25 GHz
`= 25 XX 10^(9) Hz`
Bandwidth of channels `= x%` of 25 GHz
`= (x)/(100) xx 25 xx 10^(9) = 25x xx 10^(7)`
Number of channel
`= ("Total Bandwidth")/("Bandwidth needed per channel")`
`5XX 10 ^(5) = (25 xx 10 ^(7))/(2 xx 10^(3))`
`10xx 10 ^(8) = 25 x xx 10 ^(7)`
`implies x = 4%`


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