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The transverse displacement y(x, t) of a wave on a string is given by y(x, t)=e^ - (a x^2+b t^2+2 a b x t ) . This represents a

Options

  1. Awave moving in -x direction with speed b a
  2. Bstanding wave of frequency b
  3. Cstanding wave of frequency 1 b
  4. Dwave moving in +x direction with a b

Correct answer

A. wave moving in -x direction with speed b a

Step-by-step solution

y_ (x, t) =e⁻( a x+ b t)^2 v= b a Wave moving in - ve x -direction.

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