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NEET Sample Paper NEET Sample Test Paper-40

  • question_answer
    A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is\[45{}^\circ ,\] the speed of the car is:

    A) \[~10\,m{{s}^{-1}}\]

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

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

    D) \[~5\,m{{s}^{-1}}\]

    Correct Answer: C

    Solution :

     We know banking angle is related with velocity and radius of the curve as \[\tan \theta =\frac{{{v}^{2}}}{rg}\] \[\Rightarrow \]   \[v=\sqrt{900\times 10\times \tan {{45}^{o}}}=30\,m/\sec \]


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