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Question: If the surface tension of water is 0.06 N/m, then the capillary rise in a tube of diameter 1mm is \(...

If the surface tension of water is 0.06 N/m, then the capillary rise in a tube of diameter 1mm is (θ=0o)(\theta = 0^{o})

A

1.22 cm

B

2.44 cm

C

3.12 cm

D

3.86 cm

Answer

2.44 cm

Explanation

Solution

h=2Tcosθrdgh = \frac{2T\cos\theta}{rdg}, [θ =0, r=12mm=0.5×103mr = \frac{1}{2}mm = 0.5 \times 10^{- 3}m,

T=0.06N/mT = 0.06N/m, d = 103kg/m310^{3}kg/m^{3}, g = 9.8 m/s2 ]

h=2×0.06×cosθ0.5×103×103×9.8=0.0244m=2.44cmh = \frac{2 \times 0.06 \times \cos\theta}{0.5 \times 10^{- 3} \times 10^{3} \times 9.8} = 0.0244m = 2.44cm