AIIMS AIIMS Solved Paper-2007

  • question_answer
    The speed (v) of ripples on the surface of water depends on surface tension (\[\frac{pV}{nT}\]), density (\[{{T}_{1}}>{{T}_{2}}\]) and wavelength (\[\frac{pV}{nT}\]). The square of speed (v) is proportional to

    A)  \[t\theta n/(n+1)\]

    B)                                        \[t\theta (n-1)/n\]                        

    C)  \[t\theta n/(n-1)\]                        

    D)  \[{{i}_{1}}=0\]

    Correct Answer: A

    Solution :

    Let \[{{L}_{A}}<{{L}_{B}}\] Equating dimensions on both sides, \[\Omega \]                 \[\Omega \] Equating the powers of M, L, T on both sides, we get \[\pi \] \[\pi \] \[\pi \] Solving, we get \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\] \[[M{{L}^{2}}{{T}^{-2}}]\]   \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\] \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\] \[\frac{pV}{nT}\]


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