Please provide a detailed step by step answer, I truly appreciate your help! Tha

Question

Please provide a detailed step by step answer, I truly appreciate your help! Thank you!

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 42 cm long and the other is 64 cm long?(The speed of sound is 340 m/s) answer in Hz Please provide a detailed step by step answer, I truly appreciate your help! Thank you!

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 42 cm long and the other is 64 cm long?(The speed of sound is 340 m/s) answer in Hz Please provide a detailed step by step answer, I truly appreciate your help! Thank you!

Explanation / Answer

Given data

The speed of sound is 340 m/s

length of the 1st open pipe = 42 cm

length of the 2 nd open pipe = 64 cm

fundamental frequencies of the open pipe is = speed of the sound / 2*length = v/2L

for 1st pipe f1= 340 / 2*42 =4.04 Hz

for the 2nd pipe f2= 340/2*64 =2.65 Hz

Beat frequency is

fb = |f1-f2| = 4.04-2.65 =1.39 Hz

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