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What is the equation of wavefront?

Physics Asked by CHEMOJEE on April 22, 2021

Recently I was studying waves and solving some problems of it. I came across this question

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but I stuck in solving it. When I referred to the answer, it said an equation none other than the equation of pulse "C2". Is C2 the new wavefront? but it’s not from the C1 pulse, it is from the source itself.
(It is actually an extension of the discussion from chat room "Problem Solving Strategies".
Note: the answer was of an equation of sphere in 3D coordinates.

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