Following are expressions for four plane simple harmonic waves (i) y₁=A 2 (n₁ t+ x ₁ ) (ii) y₂=A 2 (n₁ t+ x ₁ + ) (iii) y₃=A 2 (n₂ t+ x ₂ ) (iv) y₄=A 2 (n₂ t- x ₂ ) The pairs of waves which will produce destructive interference and stationa

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Following are expressions for four plane simple harmonic waves (i) y₁=A 2 (n₁ t+ x ₁ ) (ii) y₂=A 2 (n₁ t+ x ₁ + ) (iii) y₃=A 2 (n₂ t+ x ₂ ) (iv) y₄=A 2 (n₂ t- x ₂ ) The pairs of waves which will produce destructive interference and stationary waves respectively in a medium, are

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Correct answer: D. (i, ii), (iii, iv)

In case of destructive interference Phase difference =180^ or So wave pair (i) and (ii) will produce destructive interference. Stationary or standing waves will produce by equations (iii) & (iv) as two waves travelling along the same line but in opposite direction.

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