CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    A heavy brass sphere is hung from a weightless inelastic spring and as a simple pendulum its time period of oscillation is T. When the sphere is immersed in a non-viscous liquid of density 1/10 that of brass, it will act as a simple pendulum of period:

    A)  \[T\]                                    

    B)  \[\frac{10}{9}T\]             

    C)         \[\sqrt{\left( \frac{9}{10} \right)}T\]      

    D)         \[\sqrt{\left( \frac{10}{9} \right)}T\]

    E)  \[\frac{9}{100}T\]

    Correct Answer: D

    Solution :

    \[\frac{T}{T}=\sqrt{\frac{g}{g}}=\sqrt{\left[ \frac{g}{g\left( 1-\frac{1}{10} \right)} \right]}\] \[=\sqrt{\frac{10}{9}}\] \[\Rightarrow \]               \[T=\sqrt{\left( \frac{10}{9} \right)}T\]  


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