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A communication channel having an operat...

A communication channel having an operating wavelength of `lambda` metre can use only x% of its source frequency as its channel bandwidth . If the system is to be used for transmitting T.V. signals requiring a bandwidth of F Hertz . How many channels can this system transmit simultaneously ?

A

`(xc)/(100lambdaF)`

B

`(100lambdaF)/(xc)`

C

`sqrt((xc)/(lambdaF))`

D

`sqrt((100lambdaF)/(xc))`

Text Solution

Verified by Experts

The correct Answer is:
A
Source frequency `f=c/lambda`
`therefore` Bandwidth of the channel =x% of f `=x/100 xx c/lambda=(xc)/(100lambda)`
`therefore` Number of channels = `"Total bandwidth of channel"/"Bandwidth of each channel"`
`therefore N=(xc)/(100lambda)xx1/F`
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