7
QuizMultiple Choice

Wavelength and Frequency

Question 7 • Applications and Modeling

A chord consists of notes that sound good together. The C major chord, starting at middle C, has the following frequencies:C - 262 HzE - 330 HzG - 392 HzDetermine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate.) How many G waves will fit in the length of four C waves?

Answer
A
6
B
5
C
4
D
3

Explanation

The frequency ratio of G to C is 392/262, which is approximately 1.5, or 3:2. For the same sound speed, G’s wavelength is shorter, so four C wavelengths fit about 4 × 1.5 = 6 G wavelengths. The correct choice is 6.

AI-written and checked against the verified answer.

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