Question

Water rises up to height ' x ' in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth 'd' in a mine, the water level rises height ' Y '. If ' R ' is the radius of earth then the ratio (Y x) is

• A. \( \frac{2R}{(R-d)} \)
• B. \( \frac{R^2}{(R-d)} \)
• C. \( \frac{R}{(R-d)} \)
• D. \( \frac{R}{(R+d)} \)

Hint:

- Capillary rise $\propto \frac{1}{g}$ - Gravity decreases inside earth $\Rightarrow$ rise increases

Answer 1

The Correct Option is C