00:01
So the question is asking us, what's the frequency of the harmonic and what's the highest, sorry, what's the frequency of the fundamental and what's the highest harmonic that one can hear such that their hearing limit is at 10 ,000 hertz? so they have a frequency limit of 10 ,000 hertz.
00:21
What is that harmonic? so we have f, this is the tension in the string, 800 newton's, we have a length of 0 .40 ,000, meters and then we have a mass of three grams or 0 .003 kilograms.
00:39
So at this point we have to the wavelength is going to be equal to two times the length.
00:45
So it's just going to be simply 8 .8 meters.
00:50
And then the velocity is going to be equal to the propagation speed rather is going to be equal to the force divided by mu.
00:58
Mew being that linear density or mass divided by length, we can now substitute this in and say that the propagation speed is going to be equal to fl over m.
01:13
And we know that the frequency is going to be equal to v over wavelength, given that the speed of propagation is wavelength times frequency, we simply have to isolate frequency and say that frequency is equal to the propagation speed divided by the propagation speed divided by the wavelength.
01:41
And the frequency is what they want us to find.
01:44
So we can say that f is going to be equal to 1 over 2l, or rather we know the wavelength at this point...