NEET Sample Paper NEET Sample Test Paper-3

  • question_answer
    Two waves are represented by the equations, \[{{Y}_{1}}=A\sin \left( 10\pi X-15\pi t+\frac{\pi }{2} \right)\] and \[{{Y}_{2}}=2A\,(30\pi X+45\pi t):\] Which of the following statement is correct?

    A)  The maximum particle velocity of the second wave is twice that of first.

    B)  Their super position will produce a standing wave

    C)  Maximum particle acceleration for the second wave is eighteen times that of the first wave.

    D)  Their wave velocities are different

    Correct Answer: C

    Solution :

        As, maximum particle acceleration              \[({{a}_{\max }})={{w}^{2}}A\]             \[\Rightarrow \]                \[\frac{{{\left( {{a}_{\max }} \right)}_{2}}}{{{\left( {{a}_{\max }} \right)}_{1}}}={{\left( \frac{45\pi }{15\pi } \right)}^{2}}\frac{2A}{A}=18\]


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