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The angle of contact at the interface of...

The angle of contact at the interface of water glass is `0^(@)` ethylalcohol-glass is `0^(@)` mercury glass is `140^(@)` and methyliodide-glass is `30^(@)` A glass capillary is put in a through containing one of these four liquids. It is observed that the meniscus is convex. The liquid in the through is

A

water

B

ethyalcohol

C

mercury

D

methyliodide

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The correct Answer is:
To solve the problem, we need to analyze the given information about the angle of contact for different liquids with glass and determine which liquid produces a convex meniscus when placed in a glass capillary. ### Step-by-Step Solution: 1. **Understand the Concept of Angle of Contact**: - The angle of contact (or wetting angle) is the angle formed between the tangent to the liquid surface and the solid surface at the point of contact. - If the angle is acute (less than 90 degrees), the liquid tends to wet the surface, resulting in a concave meniscus. Conversely, if the angle is obtuse (greater than 90 degrees), the liquid does not wet the surface well, leading to a convex meniscus. 2. **List the Angles of Contact for Each Liquid**: - Water-glass: \(0^\circ\) - Ethyl alcohol-glass: \(0^\circ\) - Mercury-glass: \(140^\circ\) - Methyl iodide-glass: \(30^\circ\) 3. **Identify the Type of Meniscus**: - The problem states that the meniscus observed is convex. This indicates that the liquid has an obtuse angle of contact with the glass. 4. **Analyze the Given Angles**: - Water and ethyl alcohol both have an angle of contact of \(0^\circ\) (acute), which would create a concave meniscus. - Methyl iodide has an angle of \(30^\circ\) (acute), also resulting in a concave meniscus. - Mercury has an angle of \(140^\circ\) (obtuse), which would create a convex meniscus. 5. **Conclusion**: - Since the only liquid that produces a convex meniscus is mercury (with an angle of contact of \(140^\circ\)), we conclude that the liquid in the trough is **mercury**. ### Final Answer: The liquid in the trough is **mercury**.

To solve the problem, we need to analyze the given information about the angle of contact for different liquids with glass and determine which liquid produces a convex meniscus when placed in a glass capillary. ### Step-by-Step Solution: 1. **Understand the Concept of Angle of Contact**: - The angle of contact (or wetting angle) is the angle formed between the tangent to the liquid surface and the solid surface at the point of contact. - If the angle is acute (less than 90 degrees), the liquid tends to wet the surface, resulting in a concave meniscus. Conversely, if the angle is obtuse (greater than 90 degrees), the liquid does not wet the surface well, leading to a convex meniscus. ...
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