Following are expressions for four plane simple harmonic waves

$(i)\,\,\,\,\,{y_1} = A\,\cos \,\,2\pi \,\left( {{n_1}t\, + \,\frac{x}{{{\lambda _1}}}} \right)$

$(ii)\,\,\,\,\,{y_2} = A\,\cos \,\,2\pi \,\left( {{n_1}t\, + \,\frac{x}{{{\lambda _1}}} + \pi } \right)$

$(iii)\,\,\,\,\,{y_3} = A\,\cos \,\,2\pi \,\left( {{n_2}t\, + \,\frac{x}{{{\lambda _2}}}} \right)$

$(iv)\,\,\,\,\,{y_4} = A\,\cos \,\,2\pi \,\left( {{n_2}t\, - \,\frac{x}{{{\lambda _2}}}} \right)$

The pairs of waves which will produce destructive interference and stationary waves respectively in a medium, are

  • A$(iii, iv), (i, ii)$
  • B$(i, iii), (ii, iv)$
  • C$(i, iv), (ii, iii)$
  • D$(i, ii), (iii, iv)$
AIEEE 2012, Medium
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