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Maximum data rate of a channel for a noiseless 3-kHz binary channel is

  • A.3000 bps
  • B.1500 bps
  • C.6000 bps
  • D.none of these 

Answer: C

Correct answer: 6000 bps

By Nyquist's formula for a noiseless channel,

\[ C = 2B\log_{2}V = 2\times 3000\times \log_{2}2 = 6000\ \text{bps} \]

Binary signalling means two levels, so each symbol carries one bit and the rate is twice the bandwidth.

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