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A container of uniform cross-section has a height of 14m. The height (in metre) Up to which water of refractive index 4/3 should be filled inside the container so that container seems to be half filled for normal viewing is ______m.

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answer is 8.

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Detailed Solution

A¹B¹ is the apparent position of bottom of container, at a distance h / μ from water surface

If the container seems to be half filled. Then

$14 - h = \frac{h}{μ} \Rightarrow 14 - h = \frac{3 h}{4} \Rightarrow h = 8 m$

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