A capillary tube when immersed vertically in water, the rise of water column is upto height h₁ on earth's surface. When this arrangement is taken into a mine of depth ' d ', below earth's surface, the height of the water column is h₂ . If R is the radius of the earth, the ratio h₂ h₁ is

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Capillary Height Variation with Gravity Change The capillary rise height formula gives h = 2T g r , where T is surface tension, is contact angle, is density, g is gravitational acceleration, and r is tube radius. At Earth's surface with gravity g_s , the height is h₁ = 2T g_s r . At depth d below the surface, gravity becomes g_d = g_s (1 - d R ) , where R is Earth's radius, giving height h₂ = 2T g_d r . The height ratio is calculated by division: h₂ h₁ = g_s g_d = g_s g_s (1 - d/R ) = 1 1 - d/R = R R - d . The rati