A one-dimensional disturbance y(x,t) propagates in a uniform medium with constant wave speed v. Which differential equation is the standard one-dimensional wave equation satisfied by the displacement?
Physics · Wave Motion · Wave Motion and General Equation of Travelling Waves
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Question

A one-dimensional disturbance y(x,t) propagates in a uniform medium with constant wave speed v. Which differential equation is the standard one-dimensional wave equation satisfied by the displacement?

G1 Physics · Accepted Answer

The standard one-dimensional wave equation is ∂²y/∂x² = (1/v²)∂²y/∂t². Multiplying by v² gives the equivalent form ∂²y/∂t² = v²∂²y/∂x². Correct option: A.