Determine the change in path length

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SUMMARY

The discussion focuses on calculating the change in path length from two in-phase wave sources separated by 2 cm, with a wavelength of 5 cm, at a point on the second nodal line of a ripple tank setup. The key equation involves understanding that a node occurs when the difference in path lengths is nλ/2, where n is an odd integer. For the second nodal line, n equals 3, indicating that the path length difference is 3.5 cm. This analysis is crucial for solving similar wave interference problems in physics.

PREREQUISITES
  • Understanding of wave interference principles
  • Knowledge of nodal and antinodal lines in wave patterns
  • Familiarity with the concept of wavelength and its measurement
  • Basic skills in applying mathematical equations related to wave physics
NEXT STEPS
  • Study the principles of wave interference and superposition
  • Learn how to calculate path length differences in wave sources
  • Explore the concept of nodal lines and their significance in wave patterns
  • Investigate practical applications of ripple tanks in wave experiments
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Students studying physics, particularly those focusing on wave mechanics, as well as educators looking for examples of wave interference and its calculations.

Matthew M
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Homework Statement


A ripple tank is setup and a point selected on the second nodal line. determine the change in path length from two wave sources if they are in phase and separated by 2cm and the wave length is 5cm

Homework Equations


not really sure of what equations to use?

The Attempt at a Solution


Dont understand what this question means?
 
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If you have quoted the question exactly (and there is no diagram) then I agree it's hard to decipher.
But my guess is they are asking for the difference in path lengths from two sources to a point P, given that:
- the sources are in phase and 2cm apart,
- the wavelength from each source is 5cm
- P is on the second nodal line of the interference pattern
 
A node occurs when two waves meet with a wavelength difference of nλ/2 where n is odd. The second nodal line means n = 3. Does this help.
 

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