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Apparent depth or shift through a single medium

This type of question, asked 3 times: 2021 Paper 24, 31 Jan 2023, 12 Apr 2023. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 24

    12
    A glass tumbler having inner depth of 17.5 cm17.5\text{ }cm is kept on a table. A student starts pouring water (μ=4/3)(\mu = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?

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  2. Question 2

    31 Jan 2023

    96
    A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index 53\frac{5}{3} is poured inside the bucket, then microscope have to be raised by 30 cm30\text{ }cm to focus the object again. The height of the liquid in the bucket is:

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  3. Question 3

    12 Apr 2023

    1
    An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12 cm12\text{ }cm. when viewed from the opposite side, the apparent distance of the bubble is observed as 4 cm4\text{ }cm. If the side of the ice cube is 24 cm24\text{ }cm, the refractive index of the ice cube is

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