NEET Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन NEET PYQ-Fluid Mechanics, Surface Tension and Viscosity

  • question_answer
    The heart of a man pumps 5 L of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be \[13.6\times {{10}^{3}}kg/{{m}^{3}}\] and \[g=10m/{{s}^{2}},\] then the power of heart in watt is                                                                                                                                          [NEET 2015 (Re)]

    A)  1.70                

    B)       2.35                

    C)  3.0                  

    D)       1.50

    Correct Answer: A

    Solution :

    Given, pressure \[=150\text{ }mm\] of Hg
    Pumping rate of heart of a man
    \[=\frac{dV}{dt}=\frac{5\times {{10}^{-3}}}{60}{{m}^{3}}/s\]
    Power of heart, \[=P.\frac{dV}{dt}=\rho gh.\frac{dV}{dt}[p=\rho gh]\]
                \[\Rightarrow \]   \[\frac{(1.36\times {{10}^{3}}kg/{{m}^{3}})(10)\times 0.15\times 5\times {{10}^{-3}})}{60}\]
    \[=1.70\,W\]


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