When a wave pulse is propagating through a medium, displacements of a particle at position ' x ' at time t = 0 and t = 2 s are given by A e − 5 x 2 and A e − 5 x 2 + 40 x − 80 . Speed of pul

Question

When a wave pulse is propagating through a medium, displacements of a particle at position ' x ' at time t = 0 and t = 2 s are given by A e − 5 x 2 and A e − 5 x 2 + 40 x − 80 . Speed of pulse in m / s is ____

TestHub · Accepted Answer

y = A e − ( 5 x 2 − 40 x + 80 ) ​ = A e − 5 ( x − 4 ) 2 ​ y = A e − b ( k x − ω t ) 2 ​ k = 1 , ω = 2 , V = k ω ​ = 2 m / sec ​

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JEE Advanced (2028)