JEE Main & Advanced Physics Wave Mechanics Question Bank Stationary Waves

  • question_answer
    A string vibrates according to the equation \[y=5\sin \,\left( \frac{2\pi x}{3} \right)\,\,\cos \,20\,\pi t\], where x and y are in cm and t in sec. The distance between two adjacent nodes is  [UPSEAT 2005]

    A)            3 cm                                         

    B)            4.5 cm

    C)            6 cm                                         

    D)            1.5 cm

    Correct Answer: D

    Solution :

                         \[y=5\sin \,\left( \frac{2\pi x}{3} \right)\cos 20\,\pi \,t,\] comparing with equation \[y=2a\sin \frac{2\pi x}{\lambda }\cos \frac{2\pi vt}{\lambda }\]Þ\[\lambda =3,\]distance between two adjacent nodes \[=\lambda /2=1.5cm\].


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