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Apparent depth through two liquid layers

This type of question, asked 3 times: 13 Apr 2023, 27 Jan 2024, 7 Apr 2025. All 3 questions below, oldest first.

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  1. Question 1

    13 Apr 2023

    3
    A vessel of depth ' dd ' is half filled with oil of refractive index n1n_{1} and the other half is filled with water of refractive index n2n_{2}. The apparent depth of this vessel when viewed from above will be-

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  2. Question 2

    27 Jan 2024

    24
    Two immiscible liquids of refractive indices 85\frac{8}{5} and 32\frac{3}{2} respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is α4 cm\frac{\alpha}{4}\text{ }cm. The value of α\alpha is ____\_\_\_\_.

  3. Question 3

    7 Apr 2025

    23
    A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom of container is 40 cm . The value of H is ____\_\_\_\_ cm . (Consider liquids are immisible)