A) \[1.15\] watt
B) \[2.30\]watt
C) \[1.15\] H.P
D) \[0.115\] H.P
Correct Answer: A
Solution :
We know that power is equal to rate of doing work. In the given configuration, we can consider that the given volume of blood has been raised up by a certain height, whose equivalent height in terms of mercury is\[130\,\,mm\]. Thus power can be calculated by equating it to rate of increase of potential energy of the equivalent mercury column (instead of blood column). Thus calculation can be done by using the formula, \[P=\frac{mgh}{t}\] Now, here mass of \[4000\,\,cc\] of mercury should be calculated, as in equivalent terms, the work done in pushing \[4000\,\,cc\] of blood to a certain height which is not given in the problem is same as the work done in pushing the same volume of mercury to a height of\[130\,\,mm\]. \[P=\frac{mgh}{t}=\frac{d\times V\times g\times h}{t}\] \[=\frac{4000\times {{10}^{-6}}\times 13.6\times {{10}^{3}}\times 9.8\times 130\times {{10}^{-3}}}{60}\] \[=1.15\,\,watt\]
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