You are designing atwo-string instrument with metal strings 35.0 cm long as shown inthe figure. Both strings are under the same tension. String S_1 hasa mass of 8.00 g and produces the note middle C (frequency 262 Hz)in its fundamental mode
a)What should be the Tension in the string?
b) What should be the mass of the string S_2 so that it willproduce A-Sharp (frequency 466 Hz) as its fundamental?
c)To extend the range of your instrument, you include a fretlocated just under the strings but not normally touching them. Howfar from the upper end should you put the fret so that when youpress S_1 tightly against it, this string will produce a C-Sharp(frequency 277 Hz) in its fundamental? That is, What is x in thefigure?
d) If you press S_2 against the fret, what frequency of sound willit produce in its fundamental?
