NAME:
ANSWERS
Student Number:
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Phys 341, The Physics of Music
Midterm Exam, 28 February, 2011
There are three problems. Each carries equal weight. The problems may not be equally dicult,
and some parts of a problem may be easier than others. Please rea
Phys 341
Physics of Music
Homework set 5 Due 28 March, 2011.
Problem 1. See separate graph.
C# D#
C2
F# G# A#
C3 D3 E3 F3 G3 A3 B3 C4
Problem 2: So, why are there 12 notes in an octave? Lets work out an approximate answer. Notice that the musical interval
Phys 341
Physics of Music
Homework set 2. Solutions Due 26 Jan 2011.
1. A. Does increasing the mass make the frequency higher or lower?
I got 6.2s for 10 oscillations w. 100g, 9.9 seconds for 250g. Large mass leads to low frequency.
(numerically, 6.2s 250
Phys 341
Physics of Music
Homework set 4 Due 25 Feb., 2011.
Problem 1. Learning how to use proportions and scaling to get numerical answers, even
when you do not at rst appear to have enough information
Imagine I have a string under tension and I pluck it
Lowest 3 modes, and their frequencies:
Fundamental=mode 1
Harmonic=mode 2
2nd harmonic=mode 3
Here are the lowest three modes, all for max tension. No5ce that
they are harmonic, that is the frequencies are 1, 2, a
Phys 341
Physics of Music
Homework set 6 Due 6 April, 2011.
Problem 0: The plot below shows a curve which is the sum of two sinusoidal waves at two dierent
frequencies a slow one and a faster one. By examining the graph, determine the two frequencies,
exp