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Following are expressions for four plane simple harmonic waves (i) y_1=A cos 2 π (n_1 t+ x λ_1 ) (ii) y_2=A cos 2 π (n_1 t+ x λ_1+π ) (iii) y_3=A cos…

JEE Main 2012 — Physics Waves & Oscillations

2012mcqmedium

Following are expressions for four plane simple harmonic waves (i) y1=Acos⁡2π(n1t+xλ1)\quad y_1=A \cos 2 \pi\left(n_1 t+\frac{x}{\lambda_1}\right)y1​=Acos2π(n1​t+λ1​x​) (ii) y2=Acos⁡2π(n1t+xλ1+π)y_2=A \cos 2 \pi\left(n_1 t+\frac{x}{\lambda_1}+\pi\right)y2​=Acos2π(n1​t+λ1​x​+π) (iii) y3=Acos⁡2π(n2t+xλ2)y_3=A \cos 2 \pi\left(n_2 t+\frac{x}{\lambda_2}\right)y3​=Acos2π(n2​t+λ2​x​) (iv) y4=Acos⁡2π(n2t−xλ2)y_4=A \cos 2 \pi\left(n_2 t-\frac{x}{\lambda_2}\right)y4​=Acos2π(n2​t−λ2​x​) The pairs of waves which will produce destructive interference and stationary waves respectively in a medium, are

Official previous-year question

Held on 7 May 2012 · Verified 6 Jul 2026.

Options

  1. A

    (iii, iv), (i, ii)

  2. B

    (i, iii), (ii, iv)

  3. C

    (i, iv), (ii, iii)

  4. D

    (i, ii), (iii, iv)

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