Discussion
For wideband FM the figure of merit is proportional to
Answer: A
The standard result is \( \gamma = 3\beta^{2}(\beta+1) \), which for a large index grows as the cube, so a modest increase in deviation buys a large improvement. That is the bandwidth-for-noise trade in algebra. Proportionality to the index alone would understate it badly. The deviation appears through the index rather than on its own. And the message bandwidth enters through the index too. The cube law is why FM broadcasting sounds so much quieter than AM.
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