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    6.

    Given that y=Asin⁑[(2πλ(ctβˆ’x))]y = A\sin \left[ {\left( {\frac{{2\pi }}{\lambda }\left( {ct - x} \right)} \right)} \right], where yy and xx are measured in metres. Which of the following statements is true

    A

    The unit of Ξ»βˆ’1{\lambda ^{ - 1}} is same as that of 2πλ\frac{{2\pi }}{\lambda }

    B

    The unit of Ξ»\lambda is same as that of xx but not of AA

    C

    The unit of cc is same as that of 2πλ\frac{{2\pi }}{\lambda }

    D

    The unit of (ctβˆ’x)\left( {ct - x} \right) is same as that of 2πλ\frac{{2\pi }}{\lambda }

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    7.

    A 1000  Hz1000\,\,Hz sound wave in air strikes the surface of a lake and penetrates into water. If speed of sound in water is 1500  msβˆ’11500\,\,{\rm{m}}{{\rm{s}}^{ - 1}}, the frequency and wavelength of waves in water are

    A

    \begin{array}{*{20}{l}} {1500\,\,{\rm{ }}Hz,{\rm{ }}1\,\,m} \end{array}

    B

    1000  Hz,1.5  m1000\,\,{\rm{ }}Hz,{\rm{ }}1.5\,\,m

    C

    \begin{array}{*{20}{l}} {1000\,\,Hz,1\,\,m} \end{array}

    D

    \begin{array}{*{20}{l}} {1500{\rm{ }}Hz,{\rm{ }}1.5{\kern 1pt} \,m} \end{array}

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    10.

    Which of the following functions represent a wave?

    A

    (xβˆ’vt)2{\left( {x - vt} \right)^2}

    B

    ln⁑  (x+vt)\ln \,\,\left( {x + vt} \right)

    C

    eβˆ’(x+vt)2{e^{ - \left( {x + vt} \right)2}}

    D

    1x+vt\frac{1}{{x + vt}}

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