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

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SUMMARY

The discussion focuses on calculating the phase of a spherical wave emitted from the origin with a wavelength of 2.0 m. At a distance of 4 m, the phase is π. Using the equation ∆Φ = 2π[(∆x)/λ], participants are tasked with determining the phase at distances of 3.5 m and 4.5 m. A suggestion is made to visualize the wave using a sine wave graph to better understand the phase changes before performing calculations.

PREREQUISITES
  • Understanding of wave properties, specifically spherical waves
  • Familiarity with the concept of phase in wave mechanics
  • Knowledge of the wavelength and its role in phase calculation
  • Basic graphing skills to visualize sine waves
NEXT STEPS
  • Study the application of the phase equation ∆Φ = 2π[(∆x)/λ] in different wave scenarios
  • Learn how to graph sine waves to visualize phase shifts
  • Explore the implications of phase changes in wave interference patterns
  • Investigate the relationship between wavelength and frequency in wave mechanics
USEFUL FOR

Students in introductory physics courses, educators teaching wave mechanics, and anyone interested in understanding wave phase calculations and visualizations.

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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
 
Last edited:
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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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