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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    A bridge is in the form of a semi-circle of radius 40 m. The greatest speed with which a motor cycle can cross the bridge without leaving the ground at the highest point is \[(g=10\,m{{s}^{-2}})\] (Frictional force is negligibly small)

    A)  \[40\,m{{s}^{-1}}\]                                        

    B)  \[20\,m{{s}^{-1}}\]             

    C)             \[30\,m{{s}^{-1}}\]                        

    D)         \[15\,m{{s}^{-1}}\]

    E)  \[25\,m{{s}^{-1}}\]

    Correct Answer: B

    Solution :

    Given\[r=40\text{ }m\]and\[g=10\text{ }m{{s}^{-2}}\] We have \[v=\sqrt{gr}\]                 \[=\sqrt{10\times 40}\]                 \[=\sqrt{400}\] \[=20\text{ }m{{s}^{-1}}\]


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