Question

A 20 cm long capillary tube is dipped in water. the water rises upto 8 cm

Answer 1

The water will rise to infinite level of the capillary tube.

Explanation:

Correct statement:

A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be

Solution:

• The gravitational force on water will be zero, if it is falling freely in an elevator.
• Therefore, surface tension is not cancelled by any other force.
• Therefore, water will be raised to full length of capillary tube.

h = 2 T cosθ/ r.ρ.g

As gravitational force is zero.

Thus

h =  2 T cosθ/ r.ρ.0 = ∞

If L = ∞ then h = ∞

Hence the water will rise to infinite level of the capillary tube.

Also learn more

A capillary tube of radius 0.5 mm is dipped vertically in a liquid of surface tension 0.04 N/m and relative density 0.8 g/cc. Calculate the height of capillary rise, if the angle of contact is 10°. (Given g = 9.8m/s²) ?

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