Water rise in capillary tube when its one end is dipped vertically in it, is 3 cm. If the surface tension of water is 75 × 10 - 3 N (2024)

Surface tension

Water rise in capillary tube when its one end is dipped vertically in it, is 3 cm. If the surface tension of water is $75 \times 10^{- 3} N / m$ , then the diameter of capillary will be (Take angle of contact = 0°)

Moderate

A

0.1 mm
B

0.5 mm
C

1.0 mm
D

2.0 mm

Solution

$h = \frac{2 σcos θ}{rρg} or r = \frac{2 σcos θ}{hρg}$

or $r = \frac{2 \times 75 \times 10^{- 3} \times \cos 0 °}{3 \times 10^{- 2} \times 10^{3} \times 10} = 0.5 mm$

Water rise in capillary tube when its one end is dipped vertically in it, is 3 cm. If the surface tension of water is 75 × 10 - 3 N (2024)

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