Question

A capillary tube of glass is taken from the Earth's to the surface of the Moon. The rise of the water column on the Moon (given contact angle between glass and water is $=0^{\circ }$ and acceleration due to gravity on the Earth is $6$ times that of the Moon) is:

• A. six times that on the Earth surface.
• B. $\frac{1}{6}$ that on the Earths surface.
• C. equal to that on the Earths surface.
• D. zero.

Answer 1

The correct option is A six times that on the Earth surface.

Rise in the capillary is dependent on the gravity as follows
Capillary rise $h=\frac{2T\cos \theta }{r\rho g}$ where $T$ is surface tension of the liquid.
which can written as $h=\frac{k}{g}$ where $k$ is constant.
$h_{moon}=\frac{k}{\left(g/6\right)},h_{earth}=\frac{k}{g}$
$h_{moon}=6$($h_{earth}$)