Calculating Wavelength in a Ripple Tank: Understanding the PS1-PS2 Equation

Click For Summary
SUMMARY

The discussion centers on calculating the wavelength of water waves produced by two sources 6.0 cm apart using the PS1-PS2 equation. The correct wavelength is determined to be 2.0 cm, while the student initially calculated incorrect values of 11.7 cm, 60 cm, and 20 cm. Key equations used include PS1 - PS2 = (n-1/2)lambda and lambda = xnd/L(n-1/2). Clarifications on terms such as "first nodal line" and "right bisector" were also requested to aid understanding.

PREREQUISITES
  • Understanding of wave interference and nodal lines
  • Familiarity with the PS1-PS2 equation in wave physics
  • Basic knowledge of Cartesian coordinates
  • Experience with ripple tank experiments
NEXT STEPS
  • Study the derivation and application of the PS1-PS2 equation in wave mechanics
  • Learn about the significance of nodal and antinodal lines in wave patterns
  • Explore the use of ripple tanks for visualizing wave phenomena
  • Investigate the relationship between wavelength, frequency, and wave speed
USEFUL FOR

Students studying wave physics, educators teaching wave mechanics, and anyone involved in experimental physics using ripple tanks.

Quantum Fizzics
Messages
22
Reaction score
0

Homework Statement


Two sources 6.0 cm apart, operating in phase, produce water waves. A student selects a point on the first nodal line and measures from it 30.0cm to a point midway between the sources and 5.0cm (on the perpendicular) to the right bisector.
a) what is the wavelength

Homework Equations


PS1 - PS2 = (n-1/2)lambda
lambda = xnd/L(n-1/2)

The Attempt at a Solution


I have tried to use both of these equations, & I still can't get the answer I don't understand.. the answer is 2.0cm and the answers I've been getting are 11.7cm, 60cm, 20cm... I don't understand
 
Physics news on Phys.org
Try giving us a few definitions: first nodal line; right bisector; perpendicular to the right bisector. Been a while since I played with a ripple tank, and I'm not remembering what some of the descriptive terms mean.
 
Quantum Fizzics said:
A student selects a point on the first nodal line
Seems to me you need to be told it's the first point on the first antinodal line.
Quantum Fizzics said:
measures from it 30.0cm to a point midway between the sources and 5.0cm (on the perpendicular) to the right bisector
Maybe you've derived the wrong diagram. In Cartesian coordinates, if the sources are at (-3,0) and (+3,0), and we take the first node on the first nodal line in the first quadrant, where do you think the chosen node is?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
3
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K