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Question

# How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container? (Refractive index of water =43)

A
8 cm
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B
10.5 cm
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C
12 cm
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D
14 cm
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Solution

## The correct option is C 12 cm Let it be filled to height 'h'cm. Then the part not in water is (21-h)cm. So the apparent depth of the filled portion must be (21-h)cm. real depthapparent depth=refractive index of water h21−h=1.33h=12cmhence, 12cm water should be filled in a container.

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