Manipal Medical Manipal Medical Solved Paper-2014

  • question_answer
    A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

    A) 2s                                              

    B) 4s     

    C) 1s                                              

    D) 6s

    Correct Answer: B

    Solution :

    Applying Bernoulli theorem, When a cone filled with water is revolved in a vertical circle, then the velocity at the higher point is given by \[v=\ge \sqrt{gr}\] \[v=r\omega =r\frac{2\pi }{T}\] \[\frac{2\pi r}{T}\ge \sqrt{rg}\] \[T\le \frac{2\pi r}{\sqrt{rg}}=2\pi \sqrt{\frac{r}{g}}=2\pi \sqrt{\frac{4}{9.8}}\] \[=2\times 3.14\times 0.6389=4.0\,s\] \[{{T}_{\max }}=4\,\,s\]


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