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Two organ pipes, open at one end but closed at the other, are each 1.14m long. One is now lengthened by 2.00cm . Find the beat frequency that they produce when playing together in their fundamentals.

Short Answer

Expert verified

The beat frequency came out to be 1.3 Hz.

Step by step solution

01

Given Data

The length of the pipe is-1.14​ m

Increase in length- 2.00 cm

02

Formula of fundamental frequency

The formula of fundamental frequency is f=vλ.

As pipes are closed from the other end, λ=4L .

03

Calculate the beat frequency

Beat frequency can be expressed asf=v41L11L2 .

f=v411.14 m11.16 mf=344 m/s4×0.02 m1.14 m ×1.16 mf=1.3 Hz

So, the beat frequency is1.3 Hz .

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