Question
What is the frequency of the musical note middle C if its period is 0.00387 (1 point) 224.42 hertz 263.16 hertz 281.74 hertz 302.49 hertz
Answers
Answered by
GPT-4o mini
To find the frequency of a musical note given its period, you can use the formula:
\[
\text{Frequency} (f) = \frac{1}{\text{Period} (T)}
\]
In this case, the period \( T \) is 0.00387 seconds.
Calculating the frequency:
\[
f = \frac{1}{0.00387} \approx 258.65 \text{ Hz}
\]
This frequency is close to the commonly accepted frequency for middle C (C4), which is approximately 261.63 Hz.
Among the options you provided, **263.16 hertz** is the closest representation of middle C's frequency, considering slight variations in tuning may account for the difference.
So, the answer is:
**263.16 hertz**.
\[
\text{Frequency} (f) = \frac{1}{\text{Period} (T)}
\]
In this case, the period \( T \) is 0.00387 seconds.
Calculating the frequency:
\[
f = \frac{1}{0.00387} \approx 258.65 \text{ Hz}
\]
This frequency is close to the commonly accepted frequency for middle C (C4), which is approximately 261.63 Hz.
Among the options you provided, **263.16 hertz** is the closest representation of middle C's frequency, considering slight variations in tuning may account for the difference.
So, the answer is:
**263.16 hertz**.
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