Q164 / 200 · Manipal (MET) 2013 · Physics

In a capillary tube, water rises to 3 mm the height of water that will rise in another capillary tube having one-third radius of the first is

  • A
    1 mm
  • B
    3 mm
  • C
    6 mm
  • Correct answer
    D
    9 mm

Solution

The narrower the tube, the higher is the rise in water. when a glass capillary $\begin{aligned} h & =\frac{2 T \cos \theta}{R \rho g} \\ h & \propto \frac{1}{R} \\ \frac{h_1}{h_2} & =\frac{R_2}{R_1} \\ \frac{3}{h_2} & =\frac{1}{3} \\ h_2 & =9 \mathrm{~mm}\end{aligned}$

Hence, the correct answer is option: 'D'.

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