A transparent glass cube of length 24 cm has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is 10 cm from the surface. When seen normally from opposite surface, its apparent distance is 6 cm. The distance of the air bubble from first surface is (a) 15 cm (b) 14 cm (c) 12 cm (d) 8 cm

Answer: (a). Let the bubble be x from the first surface: x/μ = 10 and (24 - x)/(μ) = 6. Add: 24/μ = 16 ⇒ μ = 1.5. x = 10μ = 15 cm. So the answer is (a) 15 cm.

A transparent glass cube of length 24 cm has a small air bubble… | MHT CET 2023 (9 May, Shift 2)

Q36MHT CET 2023 · 9 MAY · SHIFT 2Medium

Refraction, Glass Slab & Apparent Depth

A transparent glass cube of length $24\text{ cm}$ has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is $10\text{ cm}$ from the surface. When seen normally from opposite surface, its apparent distance is $6\text{ cm}$ . The distance of the air bubble from first surface is

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Answer: (a)

Let the bubble be $x$ from the first surface: $\dfrac{x}{\mu} = 10$ and $\dfrac{24 - x}{\mu} = 6$ .
Add: $\dfrac{24}{\mu} = 16 \Rightarrow \mu = 1.5$ .
$x = 10\mu = 15$ cm.
So the answer is (a) 15 cm.

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Refraction, Glass Slab & Apparent Depth question from MHT CET 2023 (9 May, Shift 2)

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