Refraction at a spherical surface

Questions

1. For an object located at infinity in a rarer medium and for a convex surface at interface, is the image formed real or virtual?

2. For an object located at infinity in a denser medium and for a convex surface at interface, is the image formed real or virtual?

3. For an object located at infinity in a rarer medium and for a concave surface at interface, is the image formed real or virtual?

4. For an object located at infinity in a denser medium and for a concave surface at interface, is the image formed real or virtual?

5. Can the object distance be equal to image distance for any combination of refractive indices and nature of surface?

6. For a real object placed in a denser medium and a concave interface can image be formed at infinity?

7. For a real object placed in a rarer medium and a concave interface can image be formed at infinity?

8. Questions based on this simulation/concept from previous years JEE, NEET, EAMCET etc. will be added here soon.

Note :

Questions given above may be visualized and solved using the simulations. However, obtaining a mathematical solution is to be always treated as the final answer and obtaining such a mathematical solution implies that you are able to understand and apply the concept.

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