JEE Main & Advanced JEE Main Paper (Held on 7 May 2012)

  • question_answer
    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)\[{{y}_{3}}=A\cos 2\pi \left( {{n}_{1}}t+\frac{x}{{{\lambda }_{2}}} \right)\] (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   JEE Main Online Paper (Held On 07 May 2012)

    A) (iii, iv), (i, ii)        

    B)                        (i, iii), (ii, iv)

    C)                        (i,iv),(ii,iii)           

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

    Correct Answer: D

    Solution :

                    In case of destructive interference Phase difference \[\phi ={{180}^{o}}\]or\[\pi \] 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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