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Two waves are propagating along a taut string that coincides with the $x-$axis. The first wave has the wave function $y_1 = A cos [k(x - vt)]$ and the second has the wave function $y = A cos [k(x + vt) + \phi ]$.

• A
  For constructive interference at $x = 0, \phi = \pi $.
• B
  For constructive interference at $x = 0, \phi = 3\pi .$
• ✓
  For destructive interference at $x = 0, \phi = \pi$ .
• D
  For destructive interference at $x = 0, \phi = 2\pi$ .