Discussion
For \( \beta = 5 \), the FM figure of merit is about
Answer: B
Substituting into the expression:
\[ \gamma = 3 \times 25 \times 6 = 450 \]
so about 450, some 26 decibels, against unity for the suppressed-carrier schemes and a third for AM. That single comparison is the whole case for FM broadcasting. 75 uses \( 3\beta^{2} \) without the extra factor. 150 and 25 follow from partial substitutions. The price is a bandwidth of 180 kHz against AM's 10, which is the other half of the trade. Working one numerical case through both schemes side by side fixes the distinction better than any rule of thumb.
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