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A transparent solid sphere has refractive index 1.5 and contains a tiny mark at its centre. If the sphere is viewed from outside, where will the mark appear to be located?

1. Nearer to the observer than its real location
2. At the same position as its actual location
3. Farther from the observer than its actual location
4. At an infinite distance

Correct answer: At the same position as its actual location

Solution

The mark appears at the same position as its actual location because the light rays from the mark travel through the sphere and do not bend significantly at the center, resulting in no apparent shift in position when viewed from outside.

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