Question

What is the beat frequency heard when two organ pipes, each open at both ends, are sounded together at their fundamental frequencies if one pipe is 48 cm long and the other is 63 cm long?

Answer 1

Beat frequency = 125.5 Hz

Step-by-step explanation:

Given:

Length of first organ pipes = 43 cm = 0.43 m

Length of second organ pipes = 63 cm = 0.63 m

Computation:

Wavelength L = λ/2

length λ = 2L

Frequency f1 = v/λ = 340 / 2(0.43)

Frequency f1 = 395.34 Hz

Frequency f2 = v/λ2 = 340/2(0.63)

Frequency f2 = 269.84 Hz

Beat frequency = Frequency f1 - Frequency f2

Beat frequency = 395.34 - 269.84

Beat frequency = 125.5 Hz