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NEET AIPMT SOLVED PAPER 2001

  • question_answer
                    The equation of a wave is given by:                                                                                                                         \[y=a\sin \left( 100t-\frac{x}{10} \right)\], where x and y are in metre and t in second; then velocity of wave is:

    A)                                                                                                                                                                                                            0.1 m/s                

    B)                 10 m/s 

    C)                 100 m/s               

    D)                 1000 m/s

    Correct Answer: D

    Solution :

                    Key Idea: The standard wave equation is                 \[y=a\sin \,(\omega t-kx)\]                 The given wave equation is                 \[y=a\sin \,\left( 100t-\frac{x}{10} \right)\]                 Compare it with the standard wave equation, we obtain                 \[\omega =100,\,k=\frac{1}{10}\]                 Velocity of the wave,                 \[v=\frac{\omega }{k}=\frac{100}{\frac{1}{10}}=100\times 10=1000\,m/s\]


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