Discussion
A \( 455 \ \mathrm{kHz} \) filter is \( 6 \ \mathrm{kHz} \) wide at \( 6 \ \mathrm{dB} \) and \( 12 \ \mathrm{kHz} \) at \( 60 \ \mathrm{dB} \). Its shape factor is
Answer: A
Shape factor is the ratio of the wider skirt to the narrower passband:
\[ \frac{12}{6} = 2.0 \]
so 2.0, respectable for a mechanical filter though bettered by a good crystal ladder. The reciprocal inverts the definition, and the remaining options combine the wrong quantities altogether. A figure defined as a ratio of two widths must always come out greater than one, which is a useful check on the arithmetic.
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