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?

• Correct answer
  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 $\sigma$
• Correct answer
  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 $\theta$

Hence, the correct answer is options: 'A', 'C'.