PHYSICS 109 Exam 3 Fall 2025 April 29th 2026 Exam 3 Reference Page score question 1 2 3 total points 30 35 35 100 Your name Lab session you attend Your TA s name Fourier Spectra include multiples harmonics of the fundamental frequency Which harmonics have non zero amplitude depends on the instrument and how it is played Speed is distance over time Wave speed is related to wavelength and frequency Speed of a wave on a string depends on tension Ft and linear mass density vwave f v d t vstring Ft Ft m L Speed of sound in air depends on temperature vsound 331 0 6 T C m s At room temperature 21 C Frequency is the inverse of period Modes n 1 2 3 On a string or in open cylindrical pipe In a closed cylindrical pipe for strings and pipes with length L fn n v 2L fn 2n 1 vsound 4L v 344 m s f 1 T 1 9 Exam 3 Reference Page Frequencies close to one another produce beats fB fa fb where fa and fb are two sounds Unit pre xes act as multipliers to numbers Mega M 1 000 000 Ms 106 s kilo 1 000 kg 1 000 g 2 9 Exam 3 Reference Page centi c 0 01 cm 0 01 m milli m 0 001 ms 0 001 s micro 0 000001 1 s 0 000001 s You may use a calculator and ruler You may not use any notes books cell phones or other electronic devices You may not share a calculator with or talk to other students during the exam Use the back of each page if you need more paper for calculations or drawings Only your work on the front printed side of each page will be graded Be sure to show your work and include units for full credit 3 9
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