Correct Answer - Option 1 : 1.5 cm
Concept:
Height of capillary rise is given by:
\(h = \frac{{4\sigma \cos \theta }}{{\rho gd}}\)
where,
σ = surface tension of the fluid.
θ = angle of contact between the glass tube and the fluid
ρ = density of the fluid
d = diameter of the glass tube (size)
Calculation:
Given:
Capillary rise (h) = 2 mm = 2 × 10-3 m , σ = 0.073575 N/m
d =?
Height of capillary rise is given by:
\(h = \frac{{4\sigma \cos \theta }}{{\rho gd}}\)
⇒ \(2 \times10^{-3} = \frac{{4\times0.073575 \times 1}}{{1000 \times 9.81\times d}}\)
⇒ d = 15 mm = 1.5 cm
