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Answer :
1. The value of height(h) is 29.63 mm .
2. Diameter of the capillary tube = 0.25 mm .
3. The value of height (h) is 12.24mm .
4. The value of height (h) is 0.087 mm .
1. The capillary rise is given by the formula: h = (2T cos θ) / ρgr where h is the capillary rise, T is the surface tension of water, θ is the angle of contact between the capillary tube and water, ρ is the density of water, and r is the radius of the capillary tube.
Substituting the values of T, θ, ρ, and r, we get:h = (2 x 0.0728 x cos 0°) / (1000 x 9.8 x 0.0005) = 29.63 mm (approximately)
2. If a capillary rise of 4 cm is noticed in a capillary tube when the tube is inserted into water, calculate the diameter of the tube.
The capillary rise is given by the formula: h = (2T cos θ) / ρgrwhere h is the capillary rise, T is the surface tension of water, θ is the angle of contact between the capillary tube and water, ρ is the density of water, and r is the radius of the capillary tube.
Rearranging the above equation, we get:r = sqrt(2T cos θ / ρg h)Diameter of the capillary tube = 2r.Substituting the values of T, θ, ρ, and h, we get:r = sqrt(2 x 0.0728 x cos 0° / (1000 x 9.8 x 0.04)) = 0.125 mm
3. The capillary rise is given by the formula: h = (2T cos θ) / ρgrwhere h is the capillary rise, T is the surface tension of water, θ is the angle of contact between the capillary tube and water, ρ is the density of water, and r is the radius of the capillary tube.Substituting the values of T, θ, ρ, and r, we get:h = (2 x 0.12 x cos 0°) / (1000 x 9.8 x 0.002) = 12.24 mm
4. The capillary rise is given by the formula: h = (2T cos θ) / ρgrwhere h is the capillary rise, T is the surface tension of water, θ is the angle of contact between the capillary tube and water, ρ is the density of water, and r is the radius of the capillary tube.
Rearranging the above equation, we get:r = sqrt(2T cos θ / ρg h)Substituting the values of T, θ, ρ, and h, we get:r = sqrt(2 x 0.12 x cos 0° / (9000 x 9.8 x 0.045)) = 0.087 mm (approximately)
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