Wave intensity at different points

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SUMMARY

The discussion centers on the calculation of wave intensity based on given amplitudes. It is established that intensity is directly proportional to the square of the amplitude, applicable to both water waves and electromagnetic waves. The introduction of the variable 'r' is unnecessary since the amplitudes are provided in the problem statement. The model answer correctly utilizes the relationship between amplitude and intensity without additional calculations.

PREREQUISITES
  • Understanding of wave properties, specifically amplitude and intensity
  • Knowledge of the relationship between amplitude and intensity in wave physics
  • Familiarity with electromagnetic waves and water wave behavior
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the mathematical relationship between amplitude and intensity in wave mechanics
  • Research the properties of electromagnetic waves and their intensity calculations
  • Explore the concept of wave interference and its effect on intensity
  • Learn about the applications of wave intensity in real-world scenarios, such as acoustics and optics
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators looking for clear explanations of wave intensity concepts.

desmond iking
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Homework Statement



here's the question , ans any my hand written working. which one is correct ? my ans or the model answer?

Homework Equations





The Attempt at a Solution

 

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Theirs is.
Why are you introducing r? They are giving you the amplitudes already, you don't have to calculate them. And intensity is proportional to amplitude squared. This is true for water waves and it's true for electromagnetic waves.
 
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