Meniscus of mercury in an open tube In an open capillary or glass tube, the free surface of pure mercury (clean glass, air above) assumes which shape?

Civil Engineering Hydraulics Difficulty: Easy
Choose an option
  • A
    Convex meniscus (curved downward at the walls)
  • B
    Concave meniscus (curved upward at the walls)
  • C
    Perfectly horizontal plane surface
  • D
    Randomly varying curvature
  • E
    Flat at centre and concave near walls

Answer

Correct Answer: Convex meniscus (curved downward at the walls)

Explanation

Introduction / Context:Surface tension and wetting determine the shape of a liquid's free surface near a solid boundary. Mercury and water show opposite wetting behavior on clean glass, producing different meniscus shapes that directly affect capillary rise or depression.

Given Data / Assumptions:

  • Open tube with air above the liquid.
  • Clean glass surface.
  • Liquid is mercury (high surface tension, non-wetting on glass).

Concept / Approach:

Contact angle greater than 90 degrees (non-wetting) yields a convex meniscus (bulging upward in the middle, depressed near the glass). For mercury on glass, the contact angle is obtuse, causing capillary depression and a convex meniscus.

Step-by-Step Solution:

Identify wetting: mercury does not wet glass ⇒ large contact angle.Large contact angle implies convex meniscus.Therefore, the free surface is convex, appearing curved downward near the walls relative to the centre.

Verification / Alternative check:

Water on clean glass (wetting) yields a concave meniscus and capillary rise, the opposite of mercury's behavior. Observations in manometers confirm mercury's capillary depression.

Why Other Options Are Wrong:

Concave is characteristic of wetting liquids like water; perfectly horizontal would require zero capillary effects; random curvature contradicts deterministic surface tension physics.

Common Pitfalls:

Confusing “curved upward” and “curved downward” descriptions; always tie the shape to the contact angle and wetting behavior.

Final Answer:

Convex meniscus (curved downward at the walls)

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