69.In a capillary tube experiment, a vertical 30 cm long capillary tube is dipped in water. The water rises upto a height of 10 cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of water column becomes

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Solution

The liquid rises in the tube till capillary force by the tube on the liquid in an upward direction is equal weight of the liquid acting in a downward direction.
$F_{c a p} = w e i g h t o f w a t e r c o l u m n .$ $F = m g h = {(p A h)}_{g}$
In free fall, w = 0
The upward capillary force will remain the same. So, there will be a net upward force on liquid till the entire tube is failed. So the height of the water column will come to 30 cm.
Hence, the length of the water column becomes 30 cm.

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