Understanding Stationary Waves in Open and Closed Tubes

Click For Summary
SUMMARY

This discussion focuses on understanding stationary waves in tubes with one end open and one closed, specifically addressing the fundamental and next highest modes. Participants clarify that the vertical axis of the graph should represent displacement or pressure, while the horizontal axis represents length. The behavior of the physical quantity at the closed end is characterized by a node, while at the open end, it features an antinode. Clear sketches of these wave patterns are essential for visualizing the concepts.

PREREQUISITES
  • Basic understanding of wave mechanics
  • Familiarity with the concepts of nodes and antinodes
  • Knowledge of pressure and displacement in waveforms
  • Ability to interpret and create graphs
NEXT STEPS
  • Research the principles of stationary waves in different boundary conditions
  • Learn about the mathematical representation of wave functions
  • Explore the differences between open and closed tube resonances
  • Study graphical representations of wave patterns in physics
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, educators teaching wave phenomena, and anyone interested in the practical applications of stationary waves in acoustics.

t_n_p
Messages
593
Reaction score
0

Homework Statement


For a tube with one end open and one closed
a) Draw a labelled sketch of the stationary wave patter for (i) the fundamental and (ii) the next highest mode.

b)describe the physical quantity graphed (as the vertical axis, i.e. the dependent variable)

c) clearly explain the reason for the behaviour of this quantity at (i) the closed and (ii) the open end

The Attempt at a Solution


For a) would I draw a sketch of the displacement of the pressure?
part b) just seems like one of those weird questions that has nothing to do with part a:confused: . Can somebody help me to decypher it?

thanks!
 
Physics news on Phys.org
My guess is the question wants you to graph some physical quantity on the y-axis and length on the x-axis. So 'sketch' must mean 'graph' ?

Or they've provided a graph and you've missed it ?
 
no graphs anywhere :confused:

What do you recommend I draw for a)?
 

Similar threads

Understanding Standing Waves in Open Tubes
  • · Replies 1 ·
Replies
1
Views
2K
Standing Waves in a tube closed at both ends
  • · Replies 5 ·
Replies
5
Views
4K
Standing Waves: Synchronization between a Tube & a Stick
  • · Replies 6 ·
Replies
6
Views
2K
How Does Pressure Vary in an Open Tube?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Position of speaker in front of tube to produce stationary wave
  • · Replies 2 ·
Replies
2
Views
1K
Frequency of a wave at resonance
  • · Replies 14 ·
Replies
14
Views
2K
Standing wave in a tube -- multiple choice question
  • · Replies 4 ·
Replies
4
Views
2K
What Is the Correct Water Level for the Third Resonance in a Closed-Open Tube?
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Standing Waves by Reflection: Losses of the Reflected Wave
  • · Replies 16 ·
Replies
16
Views
3K
Waves in a closed organ pipe (homework check)
  • · Replies 3 ·
Replies
3
Views
3K