Question: The transverse displacement $y(x, t)$ of a wave on a string is given by $y(x, t)=e^{-\left(a x^{2}+b b^{2}+2 \sqrt{a b x}\right)}$. This represents a :-
standing wave of frequency $\sqrt{b}$
standing wave of frequency $\frac{1}{\sqrt{b}}$
wave moving in $+x$ directionwith speed $\sqrt{\frac{a}{b}}$
wave moving in $-x$ direction with speed $\sqrt{\frac{b}{a}}$
Correct Option: , 4
Solution:
