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Q.

A person of height 1.65 m is standing upright. The additional external force required by blood vessel of length 1 cm, diameter 1 mm at feet to balance the pressure compared to similar blood vessel in head is
(Density of blood $= 1.1 \times 10^{3} {kgm}^{- 3}, g = 10 {ms}^{- 2}$ )

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a

0.57 N

b

5.7 N

c

1.85 N

d

3.14 N

answer is A.

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Detailed Solution

$P = ρ g h = (1100) (10) (1.65) = 18161 P a$

$F = PA = 18161 \times 2 π \times (\frac{1}{2} \times 10^{- 3}) (10^{- 2}) = 0.57 N$

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