The transverse displacement `y(x, t)` of a wave on a string is given by `y(x, t)= e ^(-(ax^(2) + bt^(2) + 2sqrt((ab))xt)`. This represents a :

Options

A. Wave movinig in -ve `x` direction with speed `sqrt(b//a)`
B. Wave moving in + ve `x` direction with speed `sqrt(b//a)`
C. Standing wave of frequency `sqrt(b)`
D. Standing wave of frequency `(1)/(sqrt(b))`

Answer

A

Explanation

`y(x,t)=e^(-(sqrt(a)x+sqrt(b)t)^(2))`