Two liquids A and B have and as contact angles in a capillary tube. If , then identify the correct statement: [2025]

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Q.
Two liquids A and B have $θ_{A}$ and $θ_{B}$ as contact angles in a capillary tube. If $K = \cos θ_{A} / \cos θ_{B}$ , then identify the correct statement: [2025]

1 K is negative, then liquid A and liquid B have convex meniscus.

2 K is negative, then liquid A and liquid B have concave meniscus.

3 K is negative, then liquid A has concave meniscus and liquid B has convex meniscus.

4 K is zero, then liquid A has convex meniscus and liquid B has concave meniscus.

Ans.
(3)

For concave meniscus $θ_{A}$ < 90°

For convex meniscus $θ_{B}$ > 90°

$K = \frac{\cos θ_{A}}{\cos θ_{B}} < 0$

K is negative when cos $θ_{A}$ and cos $θ_{B}$ are of opposite signs.

Solution

Q.
Two liquids A and B have $θ_{A}$ and $θ_{B}$ as contact angles in a capillary tube. If $K = \cos θ_{A} / \cos θ_{B}$ , then identify the correct statement: [2025]

1 K is negative, then liquid A and liquid B have convex meniscus.

2 K is negative, then liquid A and liquid B have concave meniscus.

3 K is negative, then liquid A has concave meniscus and liquid B has convex meniscus.

4 K is zero, then liquid A has convex meniscus and liquid B has concave meniscus.

Ans.
(3)

For concave meniscus $θ_{A}$ < 90°

For convex meniscus $θ_{B}$ > 90°

$K = \frac{\cos θ_{A}}{\cos θ_{B}} < 0$

K is negative when cos $θ_{A}$ and cos $θ_{B}$ are of opposite signs.

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Solution

Q. Two liquids A and B have θA and θB as contact angles in a capillary tube. If K=cos θA/cos θB, then identify the correct statement: [2025]

1 K is negative, then liquid A and liquid B have convex meniscus.

2 K is negative, then liquid A and liquid B have concave meniscus.

3 K is negative, then liquid A has concave meniscus and liquid B has convex meniscus.

4 K is zero, then liquid A has convex meniscus and liquid B has concave meniscus.

Ans. (3) For concave meniscus θA < 90° For convex meniscus θB > 90° K=cos θAcos θB<0 K is negative when cos θA and cos θB are of opposite signs.

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Q.
Two liquids A and B have $θ_{A}$ and $θ_{B}$ as contact angles in a capillary tube. If $K = \cos θ_{A} / \cos θ_{B}$ , then identify the correct statement: [2025]

Ans.
(3)

For concave meniscus $θ_{A}$ < 90°

For convex meniscus $θ_{B}$ > 90°

$K = \frac{\cos θ_{A}}{\cos θ_{B}} < 0$

K is negative when cos $θ_{A}$ and cos $θ_{B}$ are of opposite signs.