Question

The speed of sound in air is 344 m/s at room temperature. the lowest frequency of a large organ pipe is 30 s−1 and the highest frequency of a piccolo is 1.5×104s−1. part a find the difference in wavelength between these two sounds. express your answer using two significant figures. λ = 11 m

Answer 1

The formula for calculating wavelength ʎ is:

ʎ = s / f

where ʎ is wavelength, s is speed of sound, f is frequency

 

ʎ (large organ pipe) = (344 m/s) / (30 s-1) = 11.47 m

ʎ (piccolo) =  (344 m/s) / (1.5x10^4 s-1) = 0.023 m

 

So the difference is:

11.47 – 0.023 = 11.45 m

 

Answer:

11.45 m