Physics 205A Midterm 2, fall semester 2012
Cuesta College, San Luis Obispo, CA
Cf. Giambattista/Richardson/Richardson, Physics, 2/e, Conceptual Questions 12.1, 11.3, Problem 12.1 
For a sound wave traveling in air, if the temperature of the air were to decrease, its frequency would __________, while its wavelength would:
(A) remain constant; remain constant.  
(B) remain constant; change.    
(C) change; remain constant.   
(D) change; change.   
Correct answer: (B)
Wave speed v depends on the properties of the medium (in this case, the absolute temperature T, where v = (331 m/s)·sqrt(T/273 K).  Frequency f depends on the properties of the source.  These two parameters can be varied independently of each other.  
The wavelength λ is the parameter dependent on both of the independent parameters:
λ = v/f,
such that decreasing the temperature T of the medium will decrease the speed v of sound waves in air, which will not affect the wave frequency f, but will cause the wavelength λ to decrease. 
Sections 70854, 70855 
Exam code: midterm02gL0u 
(A) : 2 students
(B) : 22 students
(C) : 10 students
(D) : 20 students
Success level: 41%
Discrimination index (Aubrecht & Aubrecht, 1983): 0.70
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