00:04
Now guys, in this problem we have a rope of length 15 meter and mass 5 kg.
00:10
The tension in the rope is 2 ,000 newton.
00:13
The rope is free to free at one end and fixed at the other end.
00:19
Now we know that for one end fixed rope, the frequency of the anath harmonic is given by 2n plus 1 times.
00:41
The speed v over 4 times the length l and we define the speed of the wave on the rope as square root of the tension over the linear mass density also the linear mass density is the mass of the rope over the length l then we can write the nth harmonic frequency equals 2 n plus 1 over 4 times square root of f over the mass of the rope times the length l say this as equation well now for the first part where we have to find out the fundamental wavelength the fundamental wavelength equals the speed of the wave over the frequency of the nath harmonic okay or the fundamental wavelength equals uh four times the length of the rope.
01:45
Therefore, the fundamental wavelength equals 4 times 15 meter or the fundamental wavelength is of 60 meters.
01:59
Now, part b in this part, we have to find out the fundamental frequency.
02:06
The fundamental frequency is 1 over 4 times square root of f over ml or that is 1 over 4 times square root of 2 ,000 newton over 5 kg times 15 meter...