A wave represented by the equation ${y_1} = a\,\cos \,\left( {kx - \omega t} \right)$ is superimposed with another wave to form a stationary wave such that the point $x = 0$ is node. The equation for the other wave is
  • A$a\,\cos \,\left( {kx - \omega t + \pi } \right)$
  • B$a\,\cos \,\left( {kx + \omega t + \pi } \right)$
  • C$a\,\cos \,\left( {kx + \omega t + \frac{\pi }{2}} \right)$
  • D$a\,\cos \,\left( {kx - \omega t + \frac{\pi }{2}} \right)$
AIEEE 2012, Medium
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