Question

A string is stretched out horizontally between two xed posts. (a) When set vibra ng at a frequency of between 200 Hz and 600 Hz (3 SF, no zeroes), the string exhibits a standing wave with ve (5) loops. Make and label a sketch showing the wavelength ? of the waves and the length L of the string when vibra ng in this mode. (b) The string is between 4 and 9 meters long (3 SF, no zeroes). Calculate the wavelength and speed of the waves. (c) Calculate the frequency at which the string would exhibit a standing wave with seven (7) loops. (d) Two pipes have the same fundamental resonance frequency as this string, but one pipe is open at both ends, and the other is open at just one. Which pipe is longer? Explain and illustrate with a drawing of the fundamental-frequency standing wave in each pipe (label nodes N and an nodes A). No math or equations.

Answer 1

one end open pipe will be longer.