Discussion
A test tone of constant amplitude is swept upward in frequency. The FM index
Answer: B
Constant amplitude fixes the deviation, so the index, being deviation over message frequency, falls as the tone rises, while Carson's rule adds the growing message frequency and the bandwidth increases. The two quantities move in opposite directions, which is the single most counter-intuitive result in the topic and the reason worst-case bandwidth is computed at the highest audio frequency rather than at the largest index.
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