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Apparent depth of a vessel holding layers of different liquids

This type of question, asked 3 times: 9 May 2023 S1, 11 May 2023 S2, 13 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    9 May 2023 S1

    18
    Three immiscible transparent liquids with uniform refractive indices 32\frac{3}{2}, 43\frac{4}{3} and 65\frac{6}{5} are arranged one on top of another. The depths of the liquids are 3 cm, 4 cm and 6 cm respectively. The apparent depth of the vessel is

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  2. Question 2

    11 May 2023 S2

    32
    A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1.6 and other is 30 cm deep and has refractive index 1.5. The apparent depth of vessel when viewed normally is

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  3. Question 3

    13 May 2026 S1

    140
    Three immiscible transparent liquids with refractive indices 32,43\dfrac{3}{2}, \dfrac{4}{3} and 65\dfrac{6}{5} are arranged one above the other. The depths of the liquids are 3 cm, 4 cm and 6 cm respectively. The apparent depth of the vessel is

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