AMU Medical AMU Solved Paper-2007

  • question_answer
    The reading of a manometer fitted to a closed tap is \[\text{3}.\text{5}\times \text{l}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}.\] If the valve is opened, the reading of the manometer falls to \[\text{3}\times \text{1}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}}.\]The velocity of water is

    A)  1m/s                                    

    B)  10 m/s

    C)  100 m/s                              

    D)  0.1 m/s

    Correct Answer: B

    Solution :

                                    \[{{p}_{1}}+\frac{1}{2}\rho v_{1}^{2}={{p}_{2}}+\frac{1}{2}\rho v_{2}^{2}\] \[\Rightarrow \]               \[\frac{1}{2}\rho v_{2}^{2}=({{p}_{1}}-{{p}_{2}})+\frac{1}{2}\rho v_{1}^{2}\]                 \[=({{p}_{1}}-{{p}_{2}})\]              \[(\because {{v}_{1}}=0)\] \[\Rightarrow \]               \[{{v}_{2}}=\sqrt{\frac{2({{p}_{1}}-{{p}_{2}})}{\rho }}\] \[\Rightarrow \]               \[{{v}_{2}}=\sqrt{\frac{2\times (3.5\times {{10}^{5}}-3\times {{10}^{5}})}{{{10}^{3}}}}\] \[\Rightarrow \]               \[{{v}_{2}}=10\,m/s\]


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