Question

Water rises to a height h in a capillary at the surface of earth. On the surface of the moon the height of water column in the same capillary will be

• A. 6h
• B. $\frac{1}{6}h$
• C. h
• D. Zero

Answer 1

Answer: (A)

6h

Answer 2

$h = \frac{2T\cos\theta}{rdg}$

$\therefore h \propto \frac{1}{g}$ [If other quantities remains constant]

$\frac{h_{\text{moon}}}{h_{\text{earth}}} = \frac{g_{\text{earth}}}{g_{\text{moon}}}$= 6 ⇒ $h_{\text{moon}} = 6h$ [As g_earth= 6g_moon]