Question

Consider an oscillating string in which the wavelength of the fifth mode is λ meter. 5 = 6 a) Fill in the blank. Each end of the oscillating string is a ____. b) Draw the string oscillating in its fifth mode. c) From your diagram, how many wavelengths of this fifth mode fit into the unknown length, L, of the oscillating string? d) Since the wavelength of the fifth mode is given as equal 6 meters, what must be the length of the oscillating string? Note: that this part can also be answered by using the general formula for λn . e) If the tension in this string is 3600 newtons, and the mass of the string is 60 kilograms, what is the speed of the waves in this string in meters per second? Note that you found the length of the string in part d) above. f) What is therefore the frequency of oscillations, f 5 , when the string is vibrating in its fifth mode? g) Assume that the mass of the string were to be quadrupled while its length and tension stay the same. Would f increase, 5 decrease or stay the same? Explain your reasoning. h) Assume now, going back to the original problem, that the note discussed in parts a) through f) above moves from the string to air, where the speed of sound on that day is 340 meters per second. Find the frequency and the wavelength of the note in air.

Answer 1