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A noiseless 3 KHz channel can transmit binary at the rate __________ .

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1. 

A noiseless 3 KHz channel can transmit binary at the rate __________ .

[A]. 12000 bps
[B]. 10000 bps
[C]. 6000 bps
[D]. 3000 bps

Answer: Option C

Explanation:

Maximum data rate for noiseless channel is given by Nyquist Theorem

= 2H log2 V bits/sec

V - discrete levels (Here Binary i.e. 2)

H - Bandwidth

∴ Maximum data rate = 2H log2 V

= 2(3 KHz) log2 2 = 2 x 3 x 103 x 1

= 6 x 103 = 6000 bps.

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