Question

A capillary tube is taken from earth's surface to moon's surface. The rise of liquid column on the moon's surface is (acceleration due to gravity on the earth's surface is six times that of moon's surface)

• A. zero.
• B. six times that on the earth's surface.
• C. equal to that on the earth's surface.
• D. $(\frac{1}{6})^{\text{th}}$ that on the earth's surface.

Hint:

Capillary rise varies inversely with gravity: \[ h\propto \frac{1}{g} \] So smaller \(g\) means larger capillary rise.

Answer 1

The Correct Option is B

Concept:
Capillary rise is: \[ h=\frac{2T\cos\theta}{\rho rg} \] ip

Step 1: Observe dependence on gravity.
From the formula: \[ h\propto \frac{1}{g} \] ip

Step 2: Compare Earth and Moon.
Given: \[ g_E = 6g_M \] So, \[ \frac{h_M}{h_E}=\frac{g_E}{g_M}=6 \] Thus, \[ h_M=6h_E \] ip Hence, the correct answer is:
\[ \boxed{(B)\ \text{six times that on the earth's surface}} \]