Question

Water rises to height 2.2 cm in glass capillary tube. The height to which same water rises in another capillary having `(1/4)^"th"` area of cross-section is ______.

Options

• 4.4 cm

• 2.2 cm

• 16.4 cm

• 8.4 cm

Answer 1

Water rises to height 2.2 cm in glass capillary tube. The height to which same water rises in another capillary having `(1/4)^"th"` area of cross-section is 4.4 cm.

Explanation:

h₁ = 2.2 cm, h₂ = ?

h₁r₁ = h₂r₂

`"h"_1sqrt("A"_1)="h"_2sqrt("A"_2)`

`"h"_2=("h"_1sqrt("A"_1))/sqrt("A"_2)=2.2xx2=4.4  "cm"`