Question
The period of the musical node E0 is 4.85 × 10-2 seconds. What is the frequency of this note?
A.
10.8 hertz
B.
20.6 hertz
C.
40.8 hertz
D.
48.5 hertz
E.
80.9 hertz
A.
10.8 hertz
B.
20.6 hertz
C.
40.8 hertz
D.
48.5 hertz
E.
80.9 hertz
Answers
GPT-4o mini
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**.
\[
\text{Frequency} (f) = \frac{1}{\text{Period} (T)}
\]
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**.