To solve this problem we will apply the concepts of linear mass density, and the expression of the wavelength with which we can find the frequency of the string. With these values it will be possible to find the voltage value. Later we will apply concepts related to harmonic waves in order to find the fundamental frequency.
The linear mass density is given as,
The expression for the wavelength of the standing wave for the second overtone is
Replacing we have
The frequency of the sound wave is
Now the velocity of the wave would be
The expression that relates the velocity of the wave, tension on the string and linear mass density is
The tension in the string is 547N
PART B) The relation between the fundamental frequency and the harmonic frequency is
Overtone is the resonant frequency above the fundamental frequency. The second overtone is the second resonant frequency after the fundamental frequency. Therefore
Then,
Rearranging to find the fundamental frequency
We Know, Work = Force * displacement
Here, Force = 350 N
displacement = 2 m
Substitute their values into the expression:
W = 350 * 2
W = 700 Joules
In short, Your Answer would be 700 J
Hope this helps!
Speed= freq x wavelength
if freq is doubled the wavelength will halve for constant speed
Potential energy is the answer