Two capillaries made of the same material with radii r1=1mm and r2=2mm. The rise of the liquid in one capillary (r1 = mm) is 30cm, then the rise in the other will be

Question

Two capillaries made of the same material with radii r1=1mm and r2=2mm. The rise of the liquid in one capillary (r1 = mm) is 30cm, then the rise in the other will be (A) 7.5cm (B) 60cm (C) 15cm (D) 120cm

Tardigrade Admin · Accepted Answer

(h2/h1)=(r1/r2)=(1/2)⇒ h2=(30/2)=15cm

Q. Two capillaries made of the same material with radii $r_{1} = 1 mm$ and $r_{2} = 2 mm .$ The rise of the liquid in one capillary $(r_{1} = mm)$ is $30 c m,$ then the rise in the other will be

$7.5 c m$

$60 c m$

$15 c m$

$120 c m$

$\frac{h _{2}}{h _{1}} = \frac{r _{1}}{r _{2}} = \frac{1}{2} \Rightarrow h_{2} = \frac{30}{2} = 15 c m$

Q. Two capillaries made of the same material with radii r1​=1mm and r2​=2mm. The rise of the liquid in one capillary (r1​=mm) is 30cm, then the rise in the other will be

7.5cm

60cm

15cm

120cm