calculate the height to which water will rise in a capillary tube of 1.5mm diameter, surface tension of water is 0.0074 N/m.

For calculating the height to which the water will rise to capillary action,

h = 4σcosθ / ρ.g.d

here

cosθ = 1

σ = 7.4 x 10^-3 N/m

ρ = 1000 kg/m³

g = 9.81 m/s²

d = 1.5mm = 1.5 x 10^-3 m

 

So,

h = (4 x 7.4 x 10^-3 x 1) / (1000 x 9.81 x 1.5 x 10^-3)

or

h = 29.6 x 10^-3 / 14.715

Thus, we get

h = 2.011 x 10 ^-3 m = 2.011 mm