Capillary Action

Classical Mechanics Level 3

A capillary of length L L is put into water and liquid rises upto height h h with h < L h<L .

Now length of capillary is reduced to h 2 \dfrac h2 and put into water again, then the liquid will:

comes out initially then stop None of these come out like a fountain not rise in the capilliary Not come out at all

Akhil Bansal by Akhil Bansal , 22, India

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1 solution

The water won't come put of the top, but the meniscus of water in the capillary will change its radius in such a way, that

h 1 × r 1 = h 2 × r 2 h_{1} \times r_{1} = h_{2} \times r_{2}

h × r = h 2 × r 2 h \times r = \dfrac{h}{2} \times r_{2}

Therefore the radius of meniscus doubles and water doesnt spill out.

6 Helpful 0 Interesting 0 Brilliant 0 Confused

To the question setter, perhaps you could consider editing the options so that the question is phrased more clearly? Maybe "come out of the capillary" instead of just "come out" would be clearer :)

Nicole Tay - 5 years, 5 months ago

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