Wavelength of musical notes

Question

1.An F note has a frequency of 698.46 Hz. Calculate its wavelength in meters.
2.A G note has a frequency of 783.99 Hz. Calculate its wavelength in meters.
3.An E note has a frequency of 659.26 Hz. Calculate its wavelength in meters.

Answer 1

If you know the frequency, you can calculate the wavelength from the following relationship:

speed of light (c) = wavelength x frequency and so ...

wavelength = speed of light (c)/frequency

In equation form this is λ = c/ν where c can be taken to be 3x10⁸ meters/sec and Hz = 1/sec = sec^-1

1.  3x10⁸ msec-1/698.46 sec^-1 = 4.295x10⁵ m

2.  3x108 msec-1/783.99 sec-1 = 3.827x10⁵ m

3.  Hopefully you can do this one yourself.