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A uniform capillary tube of inner radius...

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?

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

D

h is proportional to contact angle `theta`

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