A uniform capillary tube of inner radius $r$ is dipped vertically into a beaker filled with water. The water rises to a height $h$ in the capillary tube above the water surface in the beaker. The surface tension of water is $\sigma$. The angle of contact between water and the wall of the capillary tube is $\theta$. Ignore the mass of water in the meniscus. Which of the following statements is (are) true?
Select ALL correct options:
A
For a given material of the capillary tube, h decreases with increase in $r$
B
For a given material of the capillary tube, h is independent of $\sigma$
C
If this experiment is performed in a lift going up with a constant acceleration, then $h$ decreases
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