Question map
A liquid rises to a certain length in a capillary tube. The tube is inclined to an angle of 45°. The length of the liquid column will :
Explanation
According to Jurin's law, the vertical height (h) of a liquid column in a capillary tube is determined by the formula h = (2γ cosθ) / (ρgr), where γ is surface tension, θ is the contact angle, ρ is density, g is gravity, and r is the tube radius [t3][t8]. This vertical height depends only on the liquid's properties and the tube's radius, remaining constant regardless of the tube's orientation [t1]. When a capillary tube is inclined at an angle α to the vertical (or 45° in this case), the liquid must still reach the same vertical height (h) to maintain hydrostatic equilibrium. If 'L' is the length of the liquid column along the inclined tube, then h = L cosα. Consequently, L = h / cosα. Since cos(45°) is less than 1, the length (L) along the tube must increase to maintain the constant vertical height [t1].
Sources
- [1] https://en.wikipedia.org/wiki/Jurin%27s_law