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Answer :
Therefore, the correct option is a) 20 cm. The length of water column in the capillary tube will be 20 cm.
1. The formula for the height (h) of the liquid column in a capillary tube is given by:
h = 2Tcos(θ)/ρgr
2. where h is the height of the liquid column, T is the surface tension, θ is the contact angle, ρ is the density of the liquid, g is the acceleration due to gravity, and r is the radius of the capillary tube.
3. Now, in a freely falling elevator, the effective acceleration due to gravity is zero (i.e) g =0. Hence the liquid rises to the top of the capillary.
4. That means, the liquid will be raised to full length of the capillary tube.
Hence the length of water column in the capillary tube is 20 cm.
Complete Question:
A 20 cm long capillary tube is dipped in water, the water rises up to 15 cm. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be :
a) 20 cm
b) 4 cm
c) 10 cm
d) 18 cm
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