The period of the musical node E0 is 4.85 × 10-2 seconds. What is the frequency of this note?Select one of the options below as your answer:. A. 10.8 hertz. B. 20.6 hertz. C. 40.8 hertz. D. 48.5 hertz. E. 80.9 hertz
Here's an interesting factoid to remember:
(Period of any wave) x (Frequency of the wave) = 1 .
If you can memorize that, then you'll always remember that
Period = 1 / frequency
and
Frequency = 1 / period .
The second one is what you need for this problem.
Frequency = 1 / period
= 1 / (4.85 x 10⁻² second)
= 1 / (0.0485 second)
= 20.62 / second
= 20.62 Hz. (rounded)
Frequency, f = 1/T, Period T = 4.85 10 ⁻² s
f = 1/(4.85 10 ⁻²)
f ≈ 20.619 ≈ 20.6
The frequency is B. 20.6 Hertz