A lens is made up of 3 different transparent media as shown in the figure. A point object O is placed on its a

Question

A lens is made up of 3 different transparent media as shown in the figure. A point object O is placed on its axis beyond 2f. How many real images will be obtained on the other side?

Accepted Answer

1. **Concept:** The focal length of a lens depends on the refractive index of the material it is made of, as given by the Lens Maker's formula: $\frac{1}{f} = (\mu - 1) \left(\frac{1}{R_1} - \frac{1}{R_2}\right)$.
2. **Analysis:** The lens is composed of 3 different transparent media, which means there are 3 distinct refractive indices ($\mu$) present within the lens.
3. **Image Formation:** Because each medium has a different refractive index, each corresponding part of the lens will have a different focal length. Therefore, each part will converge the incident light rays from the point object at a different position on the principal axis.
4. **Conclusion:** Since there are 3 different focal lengths, 3 distinct real images will be formed.

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