What happens when a capillary tube of insuffisient length is dipped in a liquid?

 Insufficient length means the length of the capillary tube is less than the height of rise of liquid.No, in this case the liquid doesn't flow out.Rather, it's curvature establishes an equilibrium with the length of the tube due to surface tension.

The equation is given by, 

r*l= 2T/qg ----1

where T is upward force due to surface tension, q is the density of the liquid and g is acceleration due to gravity.r is the radius of curvature of the liquid and l is the length of the tube.

as T , q and g are all constant,

rl = constant according to equation 1.So less the value of l, more is the radius of curvature which is adjusted to give a constant value of the product of l and r and thus the liquid never flows out, instead you see liquid bulging up on the top of the tube.

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