JEE Main & Advanced AIEEE Solved Paper-2008

  • question_answer
    A wave travelling along the x-axis is described by the equation \[y\left( x,\,t \right)=0.005\cos \left( \alpha x-\beta t \right)\]. If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then \[\alpha \] and \[\beta \] in appropriate units are       AIEEE  Solved  Paper-2007

    A) \[\alpha =\frac{0.04}{\pi },\,\beta =\frac{1.0}{\pi }\]       

    B) \[\alpha =12.50\pi ,\,\beta =\frac{\pi }{2.0}\]

    C)                                        \[\alpha =25.00\pi ,\,\beta =\pi \]                

    D)                        \[\alpha =\frac{0.08}{\pi },\,\beta =\frac{2.0}{\pi }\]

    Correct Answer: C

    Solution :

                    \[\alpha =\frac{2\pi }{\lambda }=\frac{2\pi }{0.08}=25\pi \];         \[\beta =\frac{2\pi }{T}=\frac{2\pi }{2}=\pi \]                


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