The period of the musical node E0 is 4.85 × 10-2 seconds. What is the frequency of this note?

Question

A.
10.8 hertz
B.
20.6 hertz
C.
40.8 hertz
D.
48.5 hertz
E.
80.9 hertz

Answer 1

To find the frequency of a note, we can use the formula:

\[ \text{Frequency} (f) = \frac{1}{\text{Period} (T)} \]

Given that the period \( T = 4.85 \times 10^{-2} \) seconds, we can calculate the frequency as follows:

\[ f = \frac{1}{4.85 \times 10^{-2}} \text{ Hz} \]

Calculating this:

\[ f = \frac{1}{0.0485} \approx 20.6 \text{ Hz} \]

So the frequency of the note E0 is approximately 20.6 hertz.

Therefore, the correct answer is B. 20.6 hertz.