Question

Organ pipes, open at one end, resonate best when their length is ¼ λ. Three pipes have lengths 23.0 cm, 30.0 cm and 38.0 cm.A. Find the wavelength of the sound emitted by each pipe.B. Find the frequency of each pipe if the speed of sound is 341 m/s.

Answer 1

a.

L = 1/4 λ

23 x 4 = 92 cm = 0.92m

30 x 4= 120 cm = 1.2 m

38 x 4= 152 cm = 1.52 m

b.

v= 341 m/s

v = f x λ

F = v / λ = 341 /0.92= 370.6 = HZ

341/1.2 = 284.16 HZ

341/1.52= 224.3 HZ