Physics - Sound Wave Question with Solution | TestHub

General equation of travelling wave is

$y=\mathit{\text{f}}\left(\mathit{\text{ax}}\pm \mathit{\text{bt}}\right)=\mathit{\text{f}}\left(\mathit{\text{x}}\pm \mathit{\text{vt}}\right)$

$\mathit{\text{y}}={\text{e}}^{-\left({\mathit{\text{ax}}}^2+{\mathit{\text{bt}}}^2+2\sqrt{\mathit{\text{ab}}}\mathit{\text{xt}}\right)}={\text{e}}^{-{\left(\sqrt{\mathit{\text{a}}}x +\sqrt{\mathit{\text{b}}}t\mathit{ }\right)}^2}$

So, the wave will be travelling along - x-axis with speed$\sqrt{\frac{\mathit{\text{b}}}{\mathit{\text{a}}}}$.