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Ratio of capillary rises in two liquids from the ratios of surface tension and density

The same question, asked 5 times: 15 May 2023 S1*, 10 May 2024 S1, 11 May 2024 S1*, 21 Apr 2025 S2*, 12 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    15 May 2023 S1

    40
    Two capillary tubes A and B of the same internal diameter are kept vertically in two different liquids whose densities are in the ratio 4:3. If the surface tensions of these two liquids are in the ratio 6:5, then the ratio of rise of liquid in capillary A to that in B is (assume their angles of contact are nearly equal)

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  2. Question 2

    10 May 2024 S1

    43
    The height of the liquid column raised in a capillary tube of a certain radius, when dipped vertically in liquid A, is 5 cm. If the tube is dipped in the same manner in another liquid B whose surface tension and density are double the values of liquid A, the height of the liquid column raised in liquid B would be (assume the angle of contact is the same)

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  3. Question 3

    11 May 2024 S1

    2
    Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio 4:34:3. The rise of liquid in two capillaries is h1h_1 and h2h_2 respectively. If the surface tensions of liquids are in the ratio 6:56:5, the ratio of heights h1h2\frac{h_1}{h_2} is (Assume that their angles of contact are same)

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  4. Question 4

    21 Apr 2025 S2

    18
    Two capillary tubes of same diameter are kept vertically in two liquids whose densities are in the ratio 4:34:3. If their surface tensions are in the ratio 6:56:5, the ratio of heights (h1h2)\left( \frac{h_{1}}{h_{2}} \right) of liquids in the two capillary tubes is (Their angle of contacts are same)

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  5. Question 5

    12 May 2026 S2

    108
    The height of the liquid column raised in a capillary tube of certain radius when dipped in liquid AA vertically is 55 cm. If the same tube is dipped in similar way in another liquid BB of surface tension and density double the values of liquid AA, the height of liquid column raised in liquid BB is (Assume that angle of contact for both the liquids is almost same)

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