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?

# 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?

1. A
12cm
2. B
15cm
3. C
10.5cm
4. D
7cm

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### Solution:

Concept: Because light travels slower in water than in air, the image we see when we fill a tank with water and look down will be an apparent image.
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. refractive index of water
So, water should be filled in a container.
Hence, option 1 is correct.

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