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  5. Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन

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

  • question_answer
    A beaker contains a fluid of density\[\rho \,kg/{{m}^{3}},\] specific heat \[S\text{ }J/kg{}^\circ C\]and viscosity t| . The beaker is filled up to height h. To estimate the rate of heat transfer per unit area \[(\overset{\bullet }{\mathop{Q}}\,/A)\]by convection when beaker is put on a hot plate, a student proposes that it should depend on \[\eta ,\left( \frac{S\Delta \theta }{h} \right)\]and\[\left( \frac{1}{\rho g} \right)\]when \[\Delta \theta \] (in °C) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for \[(\overset{\bullet }{\mathop{Q}}\,/A)\]is:                                                                                                                       [JEE MAIN 11-04-2015]

    A)  \[\eta \frac{S\Delta \theta }{h}\] 

    B)       \[\eta \left( \frac{S\Delta \theta }{h} \right)\left( \frac{1}{\rho g} \right)\]

    C)  \[\frac{S\Delta \theta }{\eta h}\] 

    D)       \[\left( \frac{S\Delta \theta }{\eta h} \right)\left( \frac{1}{\rho g} \right)\]

    Correct Answer: A

    Solution :

    [a] Let  is derived quantity which is derived by three fundamental quantities and  By using property of homogeneity.
                
         
          
              
    So,


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