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

AI Thread Summary
To find the distance between two waves in superposition, the user correctly applies the formula for phase difference and attempts to solve for the distance x. They derive the wavelength as 30 cm from the first question and use it in the phase difference equation for question two. The user expresses uncertainty about their approach and seeks clarification on how to isolate x in the equation. They also confirm their calculations for question three, relating wave speed to wavelength and frequency. The discussion emphasizes the importance of understanding phase relationships in wave mechanics.
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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
 
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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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