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JEE Main & Advanced Physics Wave Mechanics Question Bank Interference and Superposition of Waves

  • question_answer
    The displacement of a particle is given by                    \[x=3\sin (5\pi \,t)+4\cos (5\pi \,t)\]            The amplitude of the particle is                                                      [MP PMT 1999]

    A)            3    

    B)            4

    C)            5    

    D)            7

    Correct Answer: C

    Solution :

               For the given super imposing waves                    \[{{a}_{1}}=3,\] \[{{a}_{2}}=4\] and phase difference \[\varphi =\frac{\pi }{2}\]            Þ \[A=\sqrt{a_{1}^{2}+a_{2}^{2}+2{{a}_{1}}{{a}_{2}}\cos \pi /2}=\sqrt{{{(3)}^{2}}+{{(4)}^{2}}}=5\]


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