The standing wave patterns that appear on a tightly stretched string rigidly anchored at both ends are the basis for understanding:

a) how many musical instruments work

b) the musical scales c) our perception of musical sound d) all of the answers are correct

A sinusoidal disturbance on a string reflects and interferes both constructively and destructively with the original wave. The ____ (1)____ are locations where destructive interference produces minimum displacement and between these are locations where the displacement is a maximum called ______(2)______.

a) 1 nodes; 2 antinodes

b) 1 antinodes; 2 nodes

Resonance comes about when the waves traveling up and down the string produce evenly spaced nodes such that the distance between nodes, D, times an integer (1, 2, 3, 4, ... ) equals the length of the string, L. The distance D and the integer will depend on the frequency of the wave. The wavelength (lambda) corresponding to this characteristic mode of vibration is _______ the node-to-node distance D.

a) One fourth

b) One half

c) Twice d) Four times

An experimental value for f1 is equal to the slope of a plot of the experimentally determined partial frequencies as a function of the observed partial number provided:

a) the string tension T is determined from the gravitational force on the measured mass of the small hanging mass

b) the effective vibrating string length L and overall length Ltotal are measured with a meter stick

c) the mass per unit length (kg/m) of the string is determined from the measured mass of the string and its overall length

d) the partial frequencies are determined from the observed partial numbers and the measured wavelengths for each mode

At one resonant frequency, a particular string of length L exhibits a standing

wave with two nodes and three antinodes (lobes). The distance between nodes D is:

a) 2L

b) L/2

c) L/3

d) 2L/3