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A wave travelling along uniform string represented by $Y=A \sin (\omega t-k x)$ is superimposed on another wave travelling along the same string represented by $Y=A \sin (\omega t+k x)$. The resultant is

• A
  a wave travelling along $+x$ direction.
• ✓
  a standing wave having nodes at $x=\left(n-\frac{1}{2}\right) \frac{\lambda}{2}$, where $n=1,2,3, \ldots \ldots \ldots \ldots$
• C
  a wave travelling along $-x$ direction.
• D
  a standing wave having nodes at $x=\frac{n \lambda}{2}$, where $n=0,1,2, \ldots \ldots \ldots$.