Question

Water rises to a height of 3.2 cm in a glass capillary tube. Find the height to which the same water rises in another capillary having half the area of the cross-section.

पर्याय

• 4.5 cm

• 5.0 cm

• 5.4 cm

• 6.2 cm

Answer 1

4.5 cm

Explanation:

Given, h₁ = 3.2 cm

As per the question,

`1/2` (area of first capillary) = Area of second capillary

⇒ `1/2 xx pir_1^2 = pir_2^2 ⇒ r_1 = sqrt2r_2`

For the same fluid,

`h_1r_1 = h_2r_2`

⇒ `h_2 = (h_1r_1)/r_2 = (3.2 xx sqrt2r_2)/r_2` = 4.5 cm