HELP Two point source interference pattern

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SUMMARY

The discussion focuses on calculating nodal lines and angular deviations in a two-point source interference pattern. Given two point sources 20 cm apart producing 3 cm waves at a rate of 8 waves every 1.2 seconds, the solution indicates there are 14 nodal lines present. The angular deviation of the 3rd nodal line is calculated to be 22 degrees. Additionally, the angle between the 3rd and 5th nodal lines can be determined by finding the respective angles and subtracting them.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with nodal lines and their calculations
  • Knowledge of trigonometric functions, specifically sine
  • Basic skills in solving equations involving angles and wavelengths
NEXT STEPS
  • Study the derivation of the formula for nodal lines in wave interference
  • Learn about the application of the sine function in wave physics
  • Explore the concept of angular deviation in wave patterns
  • Investigate the relationship between wavelength, distance, and nodal line formation
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Students studying wave physics, physics educators, and anyone interested in understanding interference patterns in wave mechanics.

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Homework Statement


2 point sources 20cm apart produce 3 cm waves at a rate of 8 waves every 1.2 seconds

Homework Equations


how many nodal lines are present
what is the angular deviation of the 3rd nodal line?
what is the angle between the 3rd nodal line and the 5th nodal line?

The Attempt at a Solution



Answer for anyone who is wondering:
Nodal lines:
1 = (n-1/2) x wavelength
1 = (n-1/2) x 3
n = 7.17
Nodal Lines on both sides of right bisector, 7.17 x 2 = 14 (rounded down to nearest whole number)
Angular Deviation:
sinx = (n-1/2) x wavelength/d
x = sin-1(2.5 x (3/20))
x = 22 degrees
Angle between 3rd and 5th:
Repeat steps above to find angle of 5th nodal line and subtract angle of 4rd from angle of 5th
 
Last edited:
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It is not good enough just to post the question. you must post your attempt at a solution; or if you can't even get started explain why not. Is it that you don't understand some of the terms or concepts? E.g. do you know what a nodal line consists of?
To get you started, try http://www.physicsclassroom.com/Class/light/u12l1b.cfm
 

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