Water rises to a height 20 cm in a capillary tube of cross-sectional area A. If the cross-sectional area of tube is 4A, then the height to which water will rise in a tube is

Question

Water rises to a height 20 cm in a capillary tube of cross-sectional area A. If the cross-sectional area of tube is 4A, then the height to which water will rise in a tube is (A) 5 cm (B) 10 cm (C) 4 cm (D) 8 cm

Tardigrade Admin · Accepted Answer

h = (2s cos θ/r ρ g) ∴ h propto (1/r) propto (1/√ A)

Q. Water rises to a height 20 cm in a capillary tube of cross-sectional area A. If the cross-sectional area of tube is 4A, then the height to which water will rise in a tube is

5 cm

10 cm

4 cm

8 cm

$h = \frac{2 s cos θ}{r ρ g}$
$∴ h \propto \frac{1}{r} \propto \frac{1}{A}$

Q. Water rises to a height 20 cm in a capillary tube of cross-sectional area A. If the cross-sectional area of tube is 4A, then the height to which water will rise in a tube is

5 cm

10 cm

4 cm

8 cm

h=rρg2scosθ​ ∴h∝r1​∝A​1​

$h = \frac{2 s cos θ}{r ρ g}$
$∴ h \propto \frac{1}{r} \propto \frac{1}{A}$