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A vertical capillary tube with inside...

A vertical capillary tube with inside radius ` 0.25` mm is submerged into water so that the length of its part protruding over the water surface is equal to 25 mm . Surface tension of water is ` 73 xx 10^(-3)` N/m and angle of contact is zero degree for glass and water , acceleration due to gravity 9.8 m/s^2. Then choose correct statement .
where R is radius of menisus and h is height of water in capillary tube .

A

`R = 0.25 ` mm

B

` h = 59.9 ` mm

C

R = 0.60 mm

D

h = 25 mm

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the concepts of capillarity and the formula for the height of liquid in a capillary tube. ### Step 1: Identify the given values - Inside radius of the capillary tube, \( r = 0.25 \, \text{mm} = 0.25 \times 10^{-3} \, \text{m} \) - Length of the part protruding over the water surface, \( L = 25 \, \text{mm} = 25 \times 10^{-3} \, \text{m} \) - Surface tension of water, \( T = 73 \times 10^{-3} \, \text{N/m} \) - Angle of contact, \( \theta = 0^\circ \) - Acceleration due to gravity, \( g = 9.8 \, \text{m/s}^2 \) ...
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