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

The transverse displacement `y(x, t)` of a wave on a string is given b

1.	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 :A. wave moving `+x-`direction with speed `sqrt((a)/(b))`B. wave moving in `-x`direction with speed `sqrt((b)/(a))`C. standing wave of frequency `sqrt(b)`D. standing wave of frequency `(1)/(sqrt(b))`
Answer» Correct Answer - 2 `y(x,t) = e^(-[sqrt(ax)+sqrt(bt)]^(2))` it is transverse type , `y(x,t) = e^(-(ax + bt)^(2))` Speed `v = (sqrt(b))/(sqrt(a))` and wave is moving along `-x` direction. `y(x,t) = e^(-[sqrt(ax)+sqrt(bt)]^(2))`

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