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Example · Example 7

Q.A clean glass capillary tube of internal radius 0.20 mm0.20\ \text{mm} is dipped vertically into a beaker of water (surface tension 0.072 N/m0.072\ \text{N/m}, density 1000 kg/m31000\ \text{kg/m}^3), the water wetting the glass completely so that the angle of contact may be taken as 0°0°. Calculate the height to which water rises in the capillary tube above the free surface in the beaker. (Take g=9.8 m/s2g = 9.8\ \text{m/s}^2.)

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Given: T=0.072 N/mT = 0.072\ \text{N/m}, ρ=1000 kg/m3\rho = 1000\ \text{kg/m}^3, r=0.20 mm=2.0×10−4 mr = 0.20\ \text{mm} = 2.0\times10^{-4}\ \text{m}, θ=0°\theta = 0° so cos⁡θ=1\cos\theta = 1, g=9.8 m/s2g = 9.8\ \text{m/s}^2. …

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