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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