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JEE Main 2023 (31 Jan, Shift 2) · Refraction, Glass Slab & Apparent Depth

Refraction, Glass Slab & Apparent Depth question from JEE Main 2023 (31 Jan, Shift 2)

Q39JEE Main 2023 · 31 JAN · SHIFT 2Medium

Refraction, Glass Slab & Apparent Depth

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

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Answer: (c)

The image rises by the normal shift $h\left(1 - \dfrac{1}{\mu}\right)$ , so the microscope is raised by this amount.
$h\left(1 - \dfrac{3}{5}\right) = 30 \Rightarrow 0.4h = 30$ .
$h = 75$ cm, so the answer is (c).

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