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PHYS 122 Final Exam study guide

# PHYS 122 Final Exam study guide - Phys 122 College physics...

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Phys 122 College physics Final Exam Review ! III. Oscillations and Waves B. Continuous media 3. Standing waves and resonance Standing wave : waveform which does not appear to move Node : point of medium which remains stationary ( y = 0) at all times Antinode : point of medium which has maximum displacement ( y = A ) Natural frequencies : frequencies at which standing waves are produced in a medium K 1,2,3 = = n v f n n λ Fundamental frequency : frequency for which n = 1 Harmonic series : set of natural frequencies ( f 1 , f 2 , f 3 …) for a medium Resonance : amplitude and energy increasing due to driving a system at a natural frequency C. Sound 1. Musical instruments a. Waves on strings: a node exists at each end; speed of wave depends on tension force and linear mass density; n half-wavelengths fit on the string; frequencies are given by K 3 , 2 , 1 2 2 = = = n F L n L v n f T n µ b. Pipe open at both ends: an antinode exists at each end; n half-wavelengths fit in the pipe; frequencies are given by K 3 , 2 , 1 2 = = n L v n f n c. Pipe closed at one end: an antinode exists at the open end and a node exists at the closed end; quarter-wavelengths fit in the pipe; frequencies are given by K 5 , 3 , 1 4 = = m L v m f m Tone , pitch : sound with a definite fundamental frequency Tone quality : characteristic which enables tones of the same intensity to be distinguished; determined by the superposition of different harmonics 2. Sound waves: longitudinal in fluids, longitudinal and transverse in solids Audible region: hearing range for humans with 20 Hz < f < 20 kHz Speed of sound + = s m 6 . 0 331 C T v The final exam is cumulative – material tested on the midterms will be on the final. This review only includes information covered since midterm 2. ! Note that the last page contains a list of symbols used and what they mean. Only the equations and constants will be given on the midterm.

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