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A capillary tube of radius 0.4 mm is dipped vertically in wate

Question

A capillary tube of radius $0.4 mm$ is dipped vertically in water. Find up to what height the water will rise in capillary. If the capillary is inclined at an angle of of $60$ degree with the vertical, how much length of the capillary is occupied by water? Surface tension of water is $7.0 \times 10$ to the power $- 2 N$ per meter.

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A capillary tube of radius

0.4 mm

is dipped vertically in water. Find up to what height the water will rise in capillary. If the capillary is inclined at an angle of of

60

degree with the vertical, how much length of the capillary is occupied by water? Surface tension of water is

7.0 \times 10

to the power

- 2 N

per meter.

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Text solutionVerified

For glass water

θ = 0°

h = \frac{2 T cos θ}{r ρ g} = \frac{2 \times 7 \times 1 0 ^{- 2}}{( 0.4 ) \times 1 0 ^{- 3} \times 1 0 ^{3} \times 9.8} = 3.57 \times 1 0^{- 2} m = 3.57 c m

l cos 60° = h \Rightarrow l = \frac{h}{cos 60°} = \frac{3.5}{1/2} = 7.14 c m

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Question Text	A capillary tube of radius $0.4 mm$ is dipped vertically in water. Find up to what height the water will rise in capillary. If the capillary is inclined at an angle of of $60$ degree with the vertical, how much length of the capillary is occupied by water? Surface tension of water is $7.0 \times 10$ to the power $- 2 N$ per meter.
Answer Type	Text solution:1
Upvotes	150