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

Question

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) 1mm (B) 3mm (C) 6mm (D) 9mm

Tardigrade Admin · Accepted Answer

For rise in capillary, the formula is h =(2 T / rg ) So, for first capillary tube h1=(2 T/r1 ρ g) For second, h2=(2 T/r2 ρ g) (h1/h2)=(r2/r1) ⇒ (3/h2)=(r1/3 × r1)[r2=(r1/3)] h2=9 mm

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

1mm

3mm

6mm

9mm

For rise in capillary, the formula is h=rg2T​ So, for first capillary tube h1​=r1​ρg2T​ For second, h2​=r2​ρg2T​ h2​h1​​=r1​r2​​⇒h2​3​=3×r1​r1​​[r2​=3r1​​] h2​=9mm

Q. 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