1- A tuning peg slips on your violin, lessening the tension in one of the string
ID: 2127216 • Letter: 1
Question
1-A tuning peg slips on your violin, lessening the tension in one of the strings. What effect does this change have on the string's sound?
a-It lowers the pitch (vibrational frequency) of the string.
b-It raises the pitch (vibrational frequency) of the string.
c-It increases the volume of the string, but has no effect on the string's pitch.
d-It decreases the volume of the string, but has no effect on the string's pitch.
2-Some of the strings in a piano are made of steel wire wrapped with a spiral of copper wire. The copper wire doesn't contribute to the tension in the string, so what is its purpose?
a-It increases the mass of the string, thereby lowering the string's pitch.
b-It increases the mass of the string, thereby raising the string's pitch.
c-It decreases the mass of the string, thereby raising the string's pitch
d-It decreases the mass of the string, thereby lowering the string's pitch.
3-Some wind chimes consist of sets of metal rods that emit tones when they're struck by wind-driven clappers. These equal-diameter rods bend back and forth as harmonic oscillators. Why do the longer rods emit lower pitched tones than the shorter rods?
a-The longer rods have less mass and are less stiff than the shorter rods.
b-The longer rods have more mass and are less stiff than the shorter rods.
c-The longer rods have less mass and are stiffer than the shorter rods.
d-The longer rods have more mass and are stiffer than the shorter rods.
4-What is the interval between an octave?
a-3/2
b-5/1
c-2/1
d-1/3
5-The natural resonance of a harmonic oscillator is the vibrational mode that the system is optimized for. Or in other words, it is the particular motion of a spring-like system that is repeated over and over again. What is the first mode of operation of any harmonic oscillator?
a-higher-order mode
b-fundamental mode
c-initial mode
d-basic mode
Explanation / Answer
1
a-It lowers the pitch (vibrational frequency) of the string.
velocity = frequesny x lamda = root (T/ u)
lamda = walength = does not change as the length does not chage
u = mass per unit length
T = tension
2
a-It increases the mass of the string, thereby lowering the string's pitch.
same formula as above
3
b-The longer rods have more mass and are less stiff than the shorter rods.
mass = linear mass density x length
4
c-2/1
any two notes an octave apart have a frequency ratio of 2:1.
5
b-fundamental mode
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