Question Detail

PHY 101 Surface Tension Objective Question
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Question

The maximum height h to which a liquid will rise through capillary action is given by which formula, where γ is surface tension, θ is contact angle, ρ is density, g is gravity, and r is tube radius?
Options
A h = (ρ g r) / (2 γ cos θ)
B h = (2 γ cos θ) / (ρ g r)
Correct Answer
C h = (2 γ sin θ) / (ρ g r)
D h = (ρ g r) / (2 γ sin θ)
Correct Answer

Option B is the correct answer.

Detailed Explanation

The formula for capillary rise is derived by balancing the upward force due to surface tension (2πr γ cos θ) with the weight of the liquid column (πr² h ρ g). Solving for h yields h = (2 γ cos θ) / (ρ g r).

Hint

The height is directly proportional to surface tension and the cosine of the contact angle, and inversely proportional to density, gravity, and the tube's radius.

Question Info

Course: PHY 101
Topic: Surface Tension
Type: Objective
Difficulty: Not specified
Question 721 of 1250
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