Question

20dB/decade is equivalent to ________.

• A. 0dB/octave
• B. 2dB/octave
• C. 4dB/octave
• D. 6dB/octave

Hint:

To convert from dB/decade to dB/octave, multiply by \( \log_{10}(2) \approx 0.3010 \).

Answer 1

The Correct Option is D

Definition:
A decade is a 10× frequency change.
An octave is a 2× frequency change.
Conversion: \[ 20 \text{ dB/decade} = \frac{20}{\log_{10}(10)} \cdot \log_{10}(2) \approx 6.02 \text{ dB/octave} \] Hence, we approximate 20 dB/decade to 6 dB/octave.