When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h. If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by 1% each, then the hei

Question

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h. If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by 1% each, then the height of the liquid in the tube will change by ______ %. [2026]

Smart Achievers · Accepted Answer

(3)

$h = \frac{2 T \cos θ}{ρ g r}$

$\frac{Δ h}{h} % = \frac{Δ T}{T} % - \frac{Δ ρ}{ρ} % - \frac{Δ r}{r} %$

$\frac{Δ h}{h} % = 1 + 1 + 1$

$\frac{Δ h}{h} = + 1 %$

Solution

1 +3

2 -1

3 +1

4 -3

Ans.
(3)

$h = \frac{2 T \cos θ}{ρ g r}$

$\frac{Δ h}{h} % = \frac{Δ T}{T} % - \frac{Δ ρ}{ρ} % - \frac{Δ r}{r} %$

$\frac{Δ h}{h} % = 1 + 1 + 1$

$\frac{Δ h}{h} = + 1 %$

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