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An organ pipe is 1.40 meters long. It can be played with both ends open, which s

ID: 1268680 • Letter: A

Question

An organ pipe is 1.40 meters long. It can be played with both ends open, which supports standing waves that have antinodes at each end. It can also be played with only one end open, which supports standing waves that have an antinode at the open end, and a node at the closed end.

a) For the pipe that's open at both ends, find the wavelengths of two largest possible waves whose antinodes can fit the pipe. find first and second wavelength.

For the pipe that's closed at one end and open at the other, find the wavelengths of two largest possible waves whose antinodes can fit the pipe. . find first and second wavelength,

can someone please exlain how to solve these. i know that for the first wavelength on A its 1.4(2) but i dont understand how the second wavelength is just 1.4

Explanation / Answer

As we know that

For Open Pipe

Wavelength = 2L/n

So For n = 1 , Wavelength = 2 L = 1.4*2

= 2.8 m

For n = 2 , Wavelength = 2L/2

= L = 1.4 m

==================================

For Closed Pipe

Wavelength = 4L/n

Where n is only odd Numbers

So For n = 1

Wavelength = 4*1.4

= 5.6 m

For n = 3

Wavelength = (4/3)*1.4

= 1.8667 m

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