CMC Medical CMC-Medical Ludhiana Solved Paper-2008

  • question_answer
    The reading of a manometer fitted to a closed tap is \[3.5\times {{10}^{5}}N\text{/}{{m}^{2}}.\] If the valve is opened, the reading of the manometer falls to \[3.5\times {{10}^{5}}N\text{/}{{m}^{2}}.\] The velocity of water is

    A)  1 m/s                                   

    B)  10 m/s

    C)  100 m/s              

    D)  0.1 m/s

    Correct Answer: B

    Solution :

                    \[{{p}_{1}}+\frac{1}{2}\rho v_{1}^{2}+\frac{1}{2}\rho v_{2}^{2}\] \[\Rightarrow \]               \[\frac{1}{2}\rho v_{2}^{2}=({{p}_{1}}-{{p}_{2}})+\frac{1}{2}\rho v_{1}^{2}\] \[\Rightarrow \]               \[=({{p}_{1}}-{{p}_{2}})\]                              \[(\because \,{{v}_{1}}=0)\] \[\Rightarrow \]               \[{{v}_{2}}=\sqrt{\frac{2({{p}_{1}}-{{p}_{2}})}{\rho }}\] \[\Rightarrow \]               \[{{v}_{2}}=\sqrt{\frac{2\times (3.5\times {{10}^{5}}-3\times {{10}^{5}})}{{{11}^{3}}}}\] \[\Rightarrow \]               \[{{v}_{2}}=10\,m\text{/}s\]


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