Resonance in Closed Air Coloumn

2 replies · 3K views · last reply
SRForum
Messages
6
Reaction score
0
Hello,

My teacher and the textbook seem to be conflicting with each other, and I would like to know who's right. The image on the left was scanned streight out my my textbook, saying that the third resonance is 5/4 lamda. On the right, is an edited version of the textbook image,showing what my teacher had showed me to display the third resonance in an air coloum. He calims that it's 1 lamda. Who's right? or are they both right? Thanks in advance for any help!:-p
http://img428.imageshack.us/img428/9123/resonance8hc.png
 
Last edited by a moderator:
1/2 lambda or 1/2 wave length is the distance between two succesive nodes or anti-nodes(crests).

so your textbooks shows

1 full wave length + 1/4 of a wave length

so 1 + 1/4 = 5/4 wave length ( or 5/4 lambda)

so it is correct.

your teacher's diagram;

1 full wave length + 3/4 of a wave length = 7/5 wave lenghts (7/4 lambda)

which is actually the 4th resonance. NOT the third!
 
Attachments
  • Two side-by-side diagrams of standing waves in a tube, labelled 3rd Resonance = 5/4 Wavelength (left) and 3rd Resonance = 1 Wavelength (right), with brackets marking 1 lambda or 1 wave length and 1/2 wave length.
    resonance8hc.png
    17.5 KB · Views: 490