Question

A bandwidth of $5 \,MHz$ is available for AM transmission. If the maximum audio signal frequency used for modulating the carrier is not to exceed $5\, kHz$, how many stations can be broadcasted within this band simultaneously without interfering with each other?

• A. $200$
• B. $300$
• C. $400$
• D. $500$

Answer 1

Answer: (D)

$500$

Answer 2

Bandwidth required for each station $= 2 \times$ maximum frequency of audio signal $= 2 \times 5 = 10\,kHz$ Number of stations which can be broadcast within bandwidth of $5 \,MHz$ $= \frac{5\,MHz}{10\,kHz} = \frac{5000\,kHz}{10\,kHz} = 500$