[Diagram: U-shaped tube with water level difference $\Delta h$ and radius $r_1$ and $r_2$.] Two narrow bores of diameter $5.0 \, ext{mm}$ and $8.0 \, ext{mm}$ are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube. [Take surface tension of water $T = 7.3 imes 10^{-2} \, ext{Nm}^{-1}$, angle of contact $= 0$, $g = 10 \, ext{ms}^{-2}$ and density of water $= 1.0 imes 10^3 \, ext{kg m}^{-3}$]

Question

[Diagram: U-shaped tube with water level difference $\Delta h$ and radius $r_1$ and $r_2$.] Two narrow bores of diameter $5.0 \, 	ext{mm}$ and $8.0 \, 	ext{mm}$ are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube. [Take surface tension of water $T = 7.3 	imes 10^{-2} \, 	ext{Nm}^{-1}$, angle of contact $= 0$, $g = 10 \, 	ext{ms}^{-2}$ and density of water $= 1.0 	imes 10^3 \, 	ext{kg m}^{-3}$]

Accepted Answer

$2.19 \, 	ext{mm}$

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