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Physics · Mechanical Properties of Matter

JEE Advanced 2018 — Paper 1 — Question 3

A uniform capillary tube of inner radius rr is dipped vertically into a beaker filled with water. The water rises to a height hh in the capillary tube above the water surface in the beaker. The surface tension of water is σ\sigma. The angle of contact between water and the wall of the capillary tube is θ\theta. Ignore the mass of water in the meniscus. Which of the following statements is (are) true?

  1. Option A:

    For a given material of the capillary tube, h decreases with increase in rr

    Correct
  2. Option B:

    For a given material of the capillary tube, h is independent of σ\sigma

  3. Option C:

    If this experiment is performed in a lift going up with a constant acceleration, then hh decreases

  4. Option D:

    hh is proportional to contact angle θ\theta

Answer: A

Step-by-step solution

h=2σcos⁡θrρgeff (ρh=\frac{2 \sigma \cos \theta}{r \rho g_{\text {eff }}}(\rho is density of water ))

Answer key and solution verified before publishing.

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Exam
JEE Advanced 2018
Paper
Paper 1
Subject
Physics
Chapter
Mechanical Properties of Matter
Topic
Contact Angle and Capillarity
A uniform capillary tube of inner radius r is dipped vertically into… | JEE Advanced 2018 PYQ with Solution · DhiX AI