Q.

A human heart pumps 60 cc of blood through the arteries at each beat against an average pressure 10 cm of mercury. If the pulse beats 72 times in a minute, the pumping power of heart will be nearly(Density of mercury = 13.6 gm/cc, $g = 10 c m / s^{2}$ )

Moderate

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a

1 W

b

2.2 W

c

0.4 W

d

9.6 W

answer is A.

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Detailed Solution

$P o w e r = \frac{W o r k}{t i m e} = \frac{P r e s s u r e \cdot V o l u m e}{t} = \frac{h d g \cdot V}{t}$

$g i v e n h e i g h t h = 10 c m = 0.1 m;$

$d e n s i t y o f m e r c u r y d = 13.6 x 10^{3} k g / m^{3};$

$a c c e l e r a t i o n d u e t o g r a v i t y g = 10 m / s^{2};$

$v o l u m e v = 60 x 10^{- 6} m^{3}$

$t i m e f o r 1 h e a r t b e a t = \frac{60}{72}$

$P o w e r = \frac{0 .1 \times 13 .6 \times 10^{3} \times 10 \times 60 \times 10^{- 6}}{\frac{60}{72}}$

$P o w e r = 0 .9792 ≃ 1 W a t t$

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