How Do You Calculate the Phase of a Spherical Wave at Different Distances?

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To calculate the phase of a spherical wave at different distances, the equation ∆Φ = 2π[(∆x)/λ] is used, where λ is the wavelength. Given a wavelength of 2.0 m and a known phase of π at 4 m, the phase at 3.5 m and 4.5 m can be determined by analyzing the change in distance from the reference point. A suggestion is made to visualize the wave using a sine graph to better understand the phase changes at the specified distances. The importance of having a mental picture before performing calculations is emphasized, particularly in introductory physics contexts. Understanding the wave's behavior visually aids in predicting the phase at varying distances.
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Homework Statement



A spherical wave with a wavelength of 2.0 m is emitted from the origin. At one instant of time, the phase at 4m is (pi) . At that instant, what is the phase at 3.5m? What is the phase at 4.5m at the same instant?

Homework Equations



∆Φ = 2π[(∆x)/λ]

The Attempt at a Solution



First i set 2 as ∆x and either 3.5 or 2.5 as λ which didn't work

Thanks in advance
 
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I think you should draw a sin wave ( either just by hand or in excel) and look at roughly how high it is at 4m then look just before (ie 3.5m) and just after (4.5m).
In introductory physics - never do the maths until you have amental picture and understand what sort of answer you are expecting. (ps this doesn't work for QM!)
 
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