NEET Sample Paper NEET Sample Test Paper-19

  • question_answer The diagram shows a venturimeter through which water is flowing. The speed of water at X is\[2\,cm/{{s}^{-1}}.\]. The speed of water at Y (taking\[g=1000\,cm/{{s}^{-2}}\]) is:

    A) \[23\,cm/{{s}^{-1}}\]                      

    B) \[32\,cm/{{s}^{-1}}\]

    C) \[101\,cm/{{s}^{-1}}\]                    

    D) \[1024\,cm/{{s}^{-1}}\]  

    Correct Answer: B

    Solution :

    Applying Bernoulli's theorem: \[{{p}_{1}}+\frac{1}{2}\rho v_{1}^{2}={{P}_{2}}+\frac{1}{2}\rho v_{2}^{2}\]or \[\frac{1}{2}\rho (v_{2}^{2}-v_{1}^{2})={{P}_{1}}-{{P}_{2}}\] or \[\frac{1}{2}\times 1(v_{2}^{2}-4)=0.51\times 1\times 1000\]\[[\because \,{{P}_{1}}-{{P}_{2}}=h\rho g]\] or \[v_{2}^{2}-4=510\times 2=1020\]or \[{{v}_{2}}=32\,cm/s.\] Hence, the correction option is [b].


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