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Answer :
The capillary height in the tube is approximately 7.4 mm. Calculate the capillary height in the tube, we can use the following equation.
h = (2 * T) / (ρ * g * r)
Where:
h is the capillary height,
T is the surface tension of water,
ρ is the density of water,
g is the acceleration due to gravity,
r is the radius of the tube.
Given:
T = 0.0728 N/m,
ρ = 1000 kg/m³ (density of water),
g = 9.8 m/s² (acceleration due to gravity),
r = 2 mm
= 0.002 m.
Let's substitute the values into the equation:
h = (2 * 0.0728) / (1000 * 9.8 * 0.002)
h ≈ 0.0074 m
To convert the result to millimeters, we multiply by 1000:
h ≈ 7.4 mm
Therefore, the capillary height in the tube is approximately 7.4 mm.
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