A noiseless 3 KHz channel can transmit binary at the rate __________ . 12000 bps

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Question
A noiseless 3 KHz channel can transmit binary at the rate __________ .
Options
A. 12000 bps
B. 10000 bps
C. 6000 bps
D. 3000 bps

Correct Answer

6000 bps

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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