A capillary tube of radius 0.1 mm is partly dipped in water (surface tension $70 dyn / cm$ and glass water contact angle $≃ 0^{\circ}$ ) with $3 0^{\circ}$ inclined with vertical. The length of water risen in the capillary is ________ cm.
$($ Take $g = 9.8 m / s^{2})$

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TestHub · Accepted Answer

​ h = ρ gr 2 T cos θ ​ = 1 × 980 × 1 0 − 2 2 × 70 × 1 ​ h = 7 100 ​ cm sin 6 0 ∘ = ℓ h ​ ℓ = 3 ​ h × 2 ​ ℓ = 7 100 ​ × 3 ​ 2 ​ = 7 × 3 ​ 200 ​ = 16.49 cm ​

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