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Question

How much water (μ=4/3) should be filled in a container of height 21 cm, so that it appears half filled to the observer when viewed from the top of the container.

A
11 cm
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B
12 cm
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C
13 cm
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D
14 cm
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Solution

The correct option is D 14 cm We know that, μ21=μ2μ1=real depthapparent depth where μ1 is the refractive index of the medium in which the observer is present and μ2 is the refractive index of the medium in which the object is kept. Here, μ1 is the refractive index of air and μ2 is the refractive index of water. It is required that the container should appear half filled. Thus, apparent depth =212=10.5 cm So, 4/31=real depth10.5 ⇒real depth=14 cm Why this question? Caution: Understand the language of question and segregate the data given.

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