An unstretchable steel string is used to replace a broken violin string. A length of 5.00 m of this string has a mass of 25.0 g. When in place, the new string will be 30.0 cm long and oscillate at 256 Hz in its fundamental mode.
(a) After it is in place, what tension must the new string be placed under?
(b) Assuming normal room temperature, what is the wavelength of the sound emitted by the new string in its fundamental mode?
(c) If you wanted to decrease this sound wavelength by 5.00%, what would you do to the tension: increase or decrease it? Explain.
(d) Determine the required tension in part (c).