Question

When a capillary tube is immersed in water vertically, water rises to a height 'h' inside the tube. If the radius of another capillary tube is 1/3^rd that of the previous, the height to which water will rise in this tube, is ______.

Options

• ${\displaystyle h\sqrt{3}}$

• ${\displaystyle \frac{h}{3}}$

• 3h

• h

Answer 1

When a capillary tube is immersed in water vertically, water rises to a height 'h' inside the tube. If the radius of another capillary tube is 1/3^rd that of the previous, the height to which water will rise in this tube, is 3h.

Explanation:

h₁r₁ = h₂r₂

${\displaystyle h_2=\frac{h_1{r}_1}{r_2}=3h}$