Physics stationary waves help

If someone could help me with this question that would be great (:

"In a resonance tube experiment, the shortest length of tube to give a loud sound is found for two different tuning forks. For a fork of a frequency 256Hz, the length is 32cm and for a fork of frequency 512Hz, the length is 15.4cm. Calculate the speed of sound in the tube and the distance of the antinode above the top of the tube."

Thanks
Original post by melonlord.xx
If someone could help me with this question that would be great (:

"In a resonance tube experiment, the shortest length of tube to give a loud sound is found for two different tuning forks. For a fork of a frequency 256Hz, the length is 32cm and for a fork of frequency 512Hz, the length is 15.4cm. Calculate the speed of sound in the tube and the distance of the antinode above the top of the tube."

Thanks

There are 2 parts to the question, it would help if you could give more information on which part you can't do and how far you've got with this.

However...
To give you a couple of clues:
For a resonance tube at it's lowest (fundamental) frequency, the wave inside is a quarter of the wavelength of the sound wave.
Speed of sound = frequency x wavelength.

However, there is what is called an 'end correction' to the tube, because the quarter wave doesn't fit exactly inside and pokes out a bit. This 'bit' is the end correction.

Have you done this in your theory?
You get rid of the error caused by the end correction by making the 2 different measurements, as given in the question.
Does this help?
(edited 1 year ago)