Question

A liquid rises to a height of 0.5 cm in a capillary tube. If another capillary tube of four times area of cross section is used, then the height of the liquid column will be _______ cm.

• A. $2.5$
• B. $0.25$
• C. $5$
• D. $0.5$

Answer 1

The correct option is B $0.25$

Using formula,

$h=\frac{2Tcos\theta }{\rho rg}$

$h\propto \frac{1}{\sqrt{A}}(r\propto \sqrt{A})$

Therefore, if A is made four times, height will be $\sqrt{\frac{1}{4}}=\frac{1}{2}$ times.

So, height will be $\frac{0.5}{2}$ = $0.25cm$