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JEE Main 20127 MayOnline
Exam
JEE Main
Year
2012
Date
7 May
Mode
Online
Subject
Physics
Chapter
Waves and Sound

JEE Main 2012 · 7 May · Online · Physics · Waves and Sound

Following are expressions for four plane simple harmonic waves (i)...

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) (ii) y2=Acos⁡2π(n1t+xλ1+π)y_2=A \cos 2 \pi\left(n_1 t+\frac{x}{\lambda_1}+\pi\right) (iii) y3=Acos⁡2π(n2t+xλ2)y_3=A \cos 2 \pi\left(n_2 t+\frac{x}{\lambda_2}\right) (iv) y4=Acos⁡2π(n2t−xλ2)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

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)

Correct answer

D. (i, ii), (iii, iv)

Step-by-step solution

In case of destructive interference Phase difference ϕ=180∘\phi=180^{\circ} or π\pi 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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