WAEC Physics 2016 Objective — Question 31

Question 31 of 50 from the West African Examinations Council (WAEC) Physics 2016 Objective paper, with the correct answer and a full explanation.

The diagram above illustrates the waveform of a note produced by vibrations in an air column of length L. If the speed of sound in air is V, derive an expression for the frequency of the note.

A. V/L
B. 5VL/2
C. 5L/4V
D. 5V/4LCorrect

Explanation

L=5λ/4 (from the waveform, the length equals 5/4 of a wavelength); v=fλ → f=v/λ=v/(4L/5)=5v/4L.

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