Find out the rise of column of liquid with in a fine capillary tube. If density of liquid =103, angle of contact =60°, acceleration due to gravity =10 m / s 2, surface tension =70 × 10-3 N / m, radius of capillary tube =0.2 mm .

Question

Find out the rise of column of liquid with in a fine capillary tube. If density of liquid =103, angle of contact =60°, acceleration due to gravity =10 m / s 2, surface tension =70 × 10-3 N / m, radius of capillary tube =0.2 mm . (A) (5/2) cm (B) 3.6 cm (C) 7 cm (D) 3.5 cm

Tardigrade Admin · Accepted Answer

The ascent formula for the rise of liquid in a capillary tube is, h = (2T cos θ/rρ g)=(2×70×10-3 cos 60°/2×10-4×103×10) = (7/2) cm = 3.5 cm

Q. Find out the rise of column of liquid with in a fine capillary tube. If density of liquid $= 1 0^{3}$ , angle of contact $= 6 0^{\circ}$ , acceleration due to gravity $= 10 m / s^{2}$ , surface tension $= 70 \times 1 0^{- 3} N / m$ , radius of capillary tube $= 0.2 mm .$

$\frac{5}{2}$ cm

3.6 cm

7 cm

3.5 cm

The ascent formula for the rise of liquid in a capillary tube is,
$h = \frac{2 T cos θ}{r ρ g} = \frac{2 \times 70 \times 1 0 ^{- 3} cos 6 0 ^{\circ}}{2 \times 1 0 ^{- 4} \times 1 0 ^{3} \times 10}$
$= \frac{7}{2}$ cm = 3.5 cm

Q. Find out the rise of column of liquid with in a fine capillary tube. If density of liquid =103, angle of contact =60∘, acceleration due to gravity =10m/s2, surface tension =70×10−3N/m, radius of capillary tube =0.2mm.

25​ cm