How Do I Find the Distance Between Two Waves in Superposition?

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SUMMARY

The discussion focuses on calculating the distance between two waves in superposition, specifically addressing a homework problem involving wave equations. The user correctly identifies the wavelength as 30 cm based on the equation (2*pi*x)/wavelength = pi/3, where x is the distance between the waves. For question two, the user attempts to derive the phase difference using the formula (2*pi*x)/30 - (2*pi*f)(7.5*10^-3) and seeks clarification on solving for x. The final calculations involve determining the phase difference using the frequency of 45 Hz and a time interval of 7.5 ms.

PREREQUISITES
  • Understanding of wave mechanics and superposition principles
  • Familiarity with trigonometric functions and their applications in wave equations
  • Knowledge of frequency and wavelength relationships
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study wave superposition and interference patterns
  • Learn how to calculate phase differences in wave mechanics
  • Explore the relationship between frequency, wavelength, and wave speed
  • Practice solving problems involving wave equations and phase shifts
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Students studying physics, particularly those focusing on wave mechanics, as well as educators and tutors seeking to enhance their understanding of wave superposition and related calculations.

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Homework Statement



superposition.jpg




2. The attempt at a solution

i knew how to solve questions one and three..please help me in question number 2...here is what i did...


Question 1

(2*pi*x)/(wavelength)=pi/3

where x is the distance between the two waves (5cm)

and therefore we get the wavelength = 30cm



Question 2

(2*pi*x)/30 - wt = difference in phase

(2*pi*x)/30 - (2*pi*f)(7.5*10^-3) = difference in phase

is this correct,,if so how can i get x ..because i think it would be different


Question 3

v = wavelength * frequency
= 0.3*45
 
Last edited:
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can anybody help...please
 
i tried myself and i got the correct answer for question number 2

difference in phase = wt
difference in phase = (2*pi*f)(7.5*10^-3)
difference in phase = (2*pi*45)(7.5*10^-3)

then divide by pi ..to get the answer as a multiple of pi
 

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