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A capillary tube is carried from Earth to the Moon's surface. Given that the acceleration due to gravity on Earth is 6 times that on the Moon, the rise of liquid in the capillary on the Moon is:
- six times that on the Earth's surface.
- 1/6 that on the Earth's surface.
- equal to that on the Earth's surface.
- zero
Correct answer: six times that on the Earth's surface.
Solution
Capillary rise h = 2T cos(theta)/(rho g r), which is inversely proportional to g. On the Moon g is one-sixth that on Earth, so the rise becomes 6 times larger. Hence the rise on the Moon is six times that on Earth.
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